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Gilkey, Peter B.

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Author ID: gilkey.peter-b Recent zbMATH articles by "Gilkey, Peter B."
Published as: Gilkey, Peter B.; Gilkey, P.; Gilkey, Peter; Gilkey, P. B.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 306 Publications since 1973, including 19 Books
Reviewing Activity: 770 Reviews
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Co-Authors

79 single-authored
39 Nikčević, Stana Ž.
31 Brozos-Vázquez, Miguel
29 García-Río, Eduardo
23 Kirsten, Klaus
21 van den Berg, Michiel
20 Park, Jeonghyeong
18 Vázquez-Lorenzo, Ramón
15 Bokan, Neda
15 Branson, Thomas Patrick
12 Blažić, Novica
12 Simon, Udo
10 Ivanova, Raina
8 Botvinnik, Boris I.
8 Vassilevich, Dmitri V.
7 Calviño-Louzao, Esteban
7 Valle-Regueiro, Xabier
5 Dunn, Corey M.
5 Sekigawa, Kouei
4 Bahri, Anthony P.
4 Videv, Veselin T.
4 Zhang, Tan
3 D’Ascanio, Daniela
3 Desjardins, Steven J.
3 Fiedler, Bernd
3 Kang, Hyunsuk
3 Ørsted, Bent
3 Pisani, Pablo A. G.
3 Stavrov, Iva
2 Álvarez López, Jesús A.
2 Barrera-Yanez, Egidio
2 Bendersky, Martin
2 Beneventano, C. G.
2 Dowker, J. Stuart
2 Fegan, Howard D.
2 Fredricks, Gregory A.
2 Kim, Chan-Yong
2 Miatello, Roberto Jorge
2 Parker, Phillip E.
2 Pierzchalski, Antoni
2 Pohjanpelto, Juha
2 Santangelo, Eve Mariel
2 Seeley, Robert Thomas
2 Smith, Lance C.
2 Stanilov, Grozio
2 Westerman, Dax M.
1 Brozos-Vázqez, Miguel
1 Cahn, Robert S.
1 Davis, Donald M.
1 Díaz-Ramos, José Carlos
1 Esposito, Giampiero
1 Euh, Yunhee
1 Fulling, Stephen A.
1 Gavino-Fernández, S.
1 Gittins, Katie
1 Grigor’yan, Alexander Asaturovich
1 Grubb, Gerd
1 Hervella, Luis Maria
1 Itoh, Mitsuhiro
1 Karoubi, Max
1 Karousou, Alexandra
1 Kim, Hong-Jong
1 Kozlov, Vladimir A.
1 Lim, Bronson
1 López Ornat, Susana
1 Nekčević, S.
1 Ničević, S.
1 Podestá, Ricardo A.
1 Rakić, Zoran
1 Sacks, Jonathan
1 Sadofsky, Hal
1 Seitz, Gary M.
1 Semmelmann, Uwe
1 Stana, Nikčević
1 Stolz, Stephan A.
1 Swann, Andrew F.
1 Tsankov, Yulian Ts.
1 Tuschmann, Wilderich
1 Vanhecke, Lieven
1 Vázquez Abal, María Elena
1 Weingart, Gregor
1 Wolf, Joseph Albert
1 Yorozu, Sinsuke
1 Živaljević, Rade T.
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Serials

11 Results in Mathematics
9 Advances in Mathematics
8 Journal of Geometry and Physics
8 Journal of Geometry
8 International Journal of Geometric Methods in Modern Physics
7 Synthesis Lectures on Mathematics and Statistics
6 Differential Geometry and its Applications
6 Journal of Physics A: Mathematical and General
6 Potential Analysis
5 Journal of Mathematical Physics
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Annals of Global Analysis and Geometry
4 Classical and Quantum Gravity
4 Houston Journal of Mathematics
4 Letters in Mathematical Physics
4 Nuclear Physics. B
4 Bulletin of the London Mathematical Society
4 Journal of Functional Analysis
4 Pacific Journal of Mathematics
4 The Journal of Geometric Analysis
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Topological Methods in Nonlinear Analysis
4 Journal of Physics A: Mathematical and Theoretical
3 Journal of Mathematical Analysis and Applications
3 Compositio Mathematica
3 Inventiones Mathematicae
3 Journal of Differential Geometry
3 Journal of the Mathematical Society of Japan
3 Mathematische Zeitschrift
3 Publicationes Mathematicae
3 Communications in Partial Differential Equations
3 Journal of Fixed Point Theory and Applications
2 Periodica Mathematica Hungarica
2 Canadian Journal of Mathematics
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Indiana University Mathematics Journal
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Mathematica Scandinavica
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Tohoku Mathematical Journal. Second Series
2 Topology and its Applications
2 International Journal of Mathematics
2 Communications in Analysis and Geometry
2 Advances in Geometry
2 Lecture Notes Series, Seoul
2 Mathematics Lecture Series
2 Series in Pure Mathematics
2 ICP Advanced Texts in Mathematics
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archivum Mathematicum
1 Canadian Mathematical Bulletin
1 Commentationes Mathematicae Universitatis Carolinae
1 Hokkaido Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Matematički Vesnik
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Simon Stevin
1 Yokohama Mathematical Journal
1 Note di Matematica
1 Forum Mathematicum
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Russian Mathematics
1 Matemática Contemporânea
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Novi Sad Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Nonlinear Functional Analysis and Applications
1 Nihonkai Mathematical Journal
1 Kragujevac Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM

Publications by Year

Citations contained in zbMATH Open

219 Publications have been cited 1,905 times in 1,189 Documents Cited by Year
Invariance theory, the heat equation and the Atiyah-Singer index theorem. 2nd ed. Zbl 0856.58001
Gilkey, Peter B.
217
1995
Invariance theory, the heat equation, and the Atiyah-Singer index theorem. Zbl 0565.58035
Gilkey, Peter B.
209
1984
The spectral geometry of a Riemannian manifold. Zbl 0316.53035
Gilkey, Peter B.
89
1975
Asymptotic formulae in spectral geometry. Zbl 1080.58023
Gilkey, Peter B.
66
2004
The asymptotics of the Laplacian on a manifold with boundary. Zbl 0721.58052
Branson, Thomas P.; Gilkey, Peter B.
64
1990
Curvature and the eigenvalues of the Laplacian for elliptic complexes. Zbl 0259.58010
Gilkey, Peter B.
51
1973
The geometry of Walker manifolds. Zbl 1206.53039
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
41
2009
Some representations of exceptional Lie algebras. Zbl 0661.17005
Gilkey, Peter B.; Seitz, Gary M.
37
1988
Isoparametric geodesic spheres and a conjecture of Osserman concerning the Jacobi operator. Zbl 0848.53023
Gilkey, Peter; Swann, Andrew; Vanhecke, Lieven
34
1995
Heat content asymptotics of a Riemannian manifold with boundary. Zbl 0809.53047
van den Berg, M.; Gilkey, Peter B.
33
1994
Geometric properties of natural operators defined by the Riemann curvature tensor. Zbl 1007.53001
Gilkey, Peter B.
31
2001
The index theorem and the heat equation. Notes by Jon Sacks. Zbl 0287.58006
Gilkey, Peter B.
29
1974
The eta invariant and metrics of positive scalar curvature. Zbl 0835.58034
Botvinnik, Boris; Gilkey, Peter B.
28
1995
The residue of the global eta function at the origin. Zbl 0469.58015
Gilkey, Peter B.
26
1981
The geometry of modified Riemannian extensions. Zbl 1186.53056
Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R.
24
2009
The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary. Zbl 0306.53042
Gilkey, Peter B.
22
1975
Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian. Zbl 0405.58050
Gilkey, Peter B.
22
1979
On the index of geometrical operators for Riemannian manifolds with boundary. Zbl 0798.58071
Gilkey, Peter B.
21
1993
The eta invariant for a class of elliptic boundary value problems. Zbl 0512.58035
Gilkey, Peter B.; Smith, Lance
21
1983
Residues of the eta function for an operator of Dirac type. Zbl 0756.58048
Branson, Thomas P.; Gilkey, Peter B.
17
1992
Heat kernel asymptotics with mixed boundary conditions. Zbl 0955.58021
Branson, Thomas P.; Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
17
1999
The geometry of curvature homogeneous pseudo-Riemannian manifolds. Zbl 1128.53041
Gilkey, Peter B.
17
2007
The eta invariant and the K-theory of odd dimensional spherical space forms. Zbl 0547.58032
Gilkey, P. B.
16
1984
Manifolds whose curvature operator has constant eigenvalues at the basepoint. Zbl 0797.53010
Gilkey, Peter B.
15
1994
Spectral geometry, Riemannian submersions, and the Gromov-Lawson conjecture. Zbl 0938.53001
Gilkey, Peter B.; Leahy, John V.; Park, Jeonghyeong
14
1999
The functional determinant of a four-dimensional boundary value problem. Zbl 0811.58060
Branson, Thomas P.; Gilkey, Peter B.
13
1994
Heat flow out of a compact manifold. Zbl 1322.58017
van den Berg, M.; Gilkey, P.
13
2015
Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons. Zbl 1394.53021
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter B.
12
2018
The eta invariant for even dimensional \(PIN_ c\) manifolds. Zbl 0602.58041
Gilkey, Peter B.
12
1985
The spectral geometry of the higher order Laplacian. Zbl 0448.58026
Gilkey, Peter B.
11
1980
Leading terms in the heat invariants. Zbl 0723.47041
Branson, Thomas P.; Gilkey, Peter B.; Ørsted, Bent
11
1990
Invariants of locally conformally flat manifolds. Zbl 0820.53022
Branson, Thomas; Gilkey, Peter; Pohjanpelto, Juha
10
1995
Residues of the eta function for an operator of Dirac type with local boundary conditions. Zbl 0742.58054
Branson, Thomas P.; Gilkey, Peter B.
10
1992
The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology. Zbl 0929.58011
Botvinnik, Boris; Gilkey, Peter; Stolz, Stephan
10
1997
Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds. Zbl 0285.53044
Gilkey, Peter B.
10
1973
Spectral geometry and the Kaehler condition for complex manifolds. Zbl 0303.53057
Gilkey, Peter B.
10
1974
The residue of the local eta function at the origin. Zbl 0405.58045
Gilkey, Peter B.
10
1979
Heat content and a Hardy inequality for complete Riemannian manifolds. Zbl 1174.58306
van den Berg, M.; Gilkey, P. B.
10
2004
Invariants of the heat equation. Zbl 0584.58041
Fegan, Howard D.; Gilkey, Peter
10
1985
Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022
van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A.
10
2007
Homogeneity of Lorentzian three-manifolds with recurrent curvature. Zbl 1307.53057
García-Río, Eduardo; Gilkey, Peter B.; Nikčević, Stana
9
2014
A note on Osserman Lorentzian manifolds. Zbl 0865.53018
Blažić, Novica; Bokan, Neda; Gilkey, Peter
9
1997
Local invariants of an embedded Riemannian manifold. Zbl 0312.53014
Gilkey, Peter B.
9
1975
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. Zbl 1097.58504
Gilkey, Peter B.; Kirsten, Klaus; Vassilevich, Dmitri V.
9
2001
Geometric realizations, curvature decompositions, and Weyl manifolds. Zbl 1208.53013
Gilkey, Peter; Nikčević, Stana; Simon, Udo
9
2011
Homogeneous affine surfaces: moduli spaces. Zbl 1345.53015
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.
8
2016
Heat equation asymptotics of “nonminimal” operators on differential forms. Zbl 0778.58062
Gilkey, Peter B.; Branson, Thomas P.; Fulling, Stephen A.
8
1991
Metrics of positive scalar curvature on spherical space forms. Zbl 0859.58026
Botvinnik, Boris; Gilkey, Peter B.
8
1996
The asymptotics of the Laplacian on a manifold with boundary. II. Zbl 0920.58050
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
8
1997
On spherical spaceforms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant. Zbl 0593.58041
Gilkey, Peter B.
8
1985
Heat content asymptotics with singular initial temperature distributions. Zbl 1143.58013
van den Berg, M.; Gilkey, P.; Seeley, R.
8
2008
Eigenvalues of the form valued Laplacian for Riemannian submersions. Zbl 0903.58061
Gilkey, Peter B.; Leahy, John V.; Park, Jeong Hyeong
7
1998
Functoriality and heat content asymptotics for operators of Laplace type. Zbl 0812.58086
van den Berg, M.; Desjardins, S.; Gilkey, P.
7
1993
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
7
1998
The twisted index problem for manifolds with boundary. Zbl 0507.58042
Gilkey, Peter B.; Smith, Lance
7
1983
Universal curvature identities. II. Zbl 1246.53022
Gilkey, P.; Park, J. H.; Sekigawa, K.
7
2012
Curvature tensors whose Jacobi or Szabó operator is nilpotent on null vectors. Zbl 1043.53018
Gilkey, Peter; Stavrov, Iva
7
2002
Geometric realizations of curvature models by manifolds with constant scalar curvature. Zbl 1191.53017
Brozos-Vázquez, M.; Gilkey, P.; Kang, H.; Nikčević, S.; Weingart, G.
7
2009
Geodesic completeness for type \(\mathcal{A}\) surfaces. Zbl 1378.53048
D’Ascanio, D.; Gilkey, P.; Pisani, P.
6
2017
The geometry of spherical space form groups. Zbl 0789.57001
Gilkey, Peter B.
6
1989
Local invariants of a pseudo-Riemannian manifold. Zbl 0299.53040
Gilkey, Peter B.
6
1975
Smooth invariants of a Riemannian manifold. Zbl 0378.53006
Gilkey, Peter B.
6
1978
Lefschetz fixed point formulas and the heat equation. Zbl 0405.58044
Gilkey, Peter B.
6
1979
Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary. Zbl 0924.58101
Branson, Thomas P.; Gilkey, Peter B.; Vassilevich, Dmitri V.
6
1998
Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting. Zbl 1031.53037
Gilkey, Peter B.; Ivanova, Raina
6
2002
Complete curvature homogeneous pseudo-Riemannian manifolds. Zbl 1067.53057
Gilkey, P.; Nikčević, S.
6
2004
Universal curvature identities. Zbl 1259.53013
Gilkey, P.; Park, J. H.; Sekigawa, K.
6
2011
Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators. Zbl 1237.53070
Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R.
5
2012
Half conformally flat generalized quasi-Einstein manifolds of metric signature \((2, 2)\). Zbl 1395.53040
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier
5
2018
Anti-invariant Riemannian submersions: a Lie-theoretical approach. Zbl 1357.53036
Gilkey, Peter; Itoh, Mitsuhiro; Park, Jeonghyeong
5
2016
Leading terms in the heat invariants for the Laplacians of the de Rham signature and spin complexes. Zbl 0692.58034
Branson, T. P.; Gilkey, P. B.; Ørsted, B.
5
1990
Applications of spectral geometry to affine and projective geometry. Zbl 0828.53008
Bokan, Neda; Gilkey, Peter B.; Simon, Udo
5
1994
Spinors, spectral geometry, and Riemannian submersions. Zbl 0902.58045
Gilkey, Peter B.; Leahy, John V.; Park, Jeonghyeong
5
1998
Invariant metrics of positive Ricci curvature on principal bundles. Zbl 0897.53028
Gilkey, Peter B.; Park, Jeong Hyeong; Tuschmann, Wilderich
5
1998
The spectral geometry of real and complex manifolds. Zbl 0311.53056
Gilkey, Peter B.
5
1975
The spectral geometry of symmetric spaces. Zbl 0342.35047
Gilkey, Peter B.
5
1977
The heat equation with inhomogeneous Dirichlet boundary conditions. Zbl 0940.58017
Van Den Berg, M.; Gilkey, P. B.
5
1999
The Jordan normal form of Osserman algebraic curvature tensors. Zbl 0999.53014
Gilkey, Peter; Ivanova, Raina
5
2001
Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081
Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A.
5
2003
Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012
Gilkey, P. B.; Kirsten, K.
5
2003
Pseudo-Riemannian Jacobi-Videv manifolds. Zbl 1141.53014
Gilkey, P.; Nikčević, S.
5
2007
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009
van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K.
5
2012
Riemannian manifolds whose skew-symmetric curvature operator has constant eigenvalues. Zbl 0990.53011
Gilkey, Peter B.; Leahy, John V.; Sadofsky, Hal
5
1999
Szabó Osserman IP pseudo-Riemannian manifolds. Zbl 1026.53007
Gilkey, Peter B.; Ivanova, Raina; Zhang, Tan
5
2003
Algebraic theory of affine curvature tensors. Zbl 1164.53320
Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U.
5
2006
Geometric realizations of Kaehler and of para-Kaehler curvature models. Zbl 1193.53088
Brozos-Vázquez, M.; Gilkey, P.; Merino, E.
5
2010
The complex bordism of groups with periodic cohomology. Zbl 0687.55007
Bahri, Anthony; Bendersky, Martin; Davis, Donald M.; Gilkey, Peter B.
4
1989
Heat content asymptotics for operators of Laplace type with Neumann boundary conditions. Zbl 0791.58091
Desjardins, S.; Gilkey, P.
4
1994
The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order. Zbl 0896.58060
Botvinnik, Boris; Gilkey, Peter B.
4
1997
Complete \(k\)-curvature homogeneous pseudo-Riemannian manifolds. Zbl 1090.53021
Gilkey, P.; Nikčević, S.
4
2005
Affine curvature homogeneous 3-dimensional Lorentz manifolds. Zbl 1091.53012
Gilkey, P.; Nikčević, S.
4
2005
The spectral geometry of the Hopf fibration. Zbl 0905.58003
Gilkey, Peter B.; Leahy, John V.; Park, Jeong-Hyeong
4
1996
The heat content asymptotics for variable geometries. Zbl 0953.58021
Gilkey, P.
4
1999
A comparison estimate for the heat equation with an application to the heat content of the \(s\)-adic von Koch snowflake. Zbl 0930.35019
van den Berg, M.; Gilkey, P. B.
4
1998
Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022
Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M.
4
2003
Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics. Zbl 1317.53050
Gilkey, P.; Park, J. H.
4
2015
Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034
Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri
4
2003
The spectral geometry of operators of Dirac and Laplace type. Zbl 1236.58035
Gilkey, Peter B.
4
2008
On properties of the asymptotic expansion of the heat trace for the N/D problem. Zbl 1111.58301
Dowker, J. S.; Kirsten, K.; Gilkey, P. B.
4
2001
Conformally Osserman manifolds and self-duality in Riemannian geometry. Zbl 1117.53028
Blažić, Novica; Gilkey, Peter
4
2005
Harmonic spaces and density functions. Zbl 1462.53034
Gilkey, P. B.; Park, J. H.
1
2020
Solutions to the affine quasi-Einstein equation for homogeneous surfaces. Zbl 1451.53051
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Valle-Regueiro, X.
1
2020
Symmetric affine surfaces with torsion. Zbl 1430.53048
D’Ascanio, D.; Gilkey, P. B.; Pisani, P.
1
2020
Affine Killing complete and geodesically complete homogeneous affine surfaces. Zbl 1419.53014
Gilkey, P. B.; Park, J. H.; Valle-Regueiro, X.
3
2019
Aspects of differential geometry IV. Zbl 1419.53002
Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón
1
2019
The geometry of locally symmetric affine surfaces. Zbl 1414.53029
D’Ascanio, D.; Gilkey, P.; Pisani, P.
1
2019
Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons. Zbl 1394.53021
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter B.
12
2018
Half conformally flat generalized quasi-Einstein manifolds of metric signature \((2, 2)\). Zbl 1395.53040
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier
5
2018
Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler. Zbl 1400.53029
Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Gutiérrez-Rodríguez, I.; Vázquez-Lorenzo, R.
3
2018
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons. Zbl 1411.53036
Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S.; Gilkey, P.
3
2018
A natural linear equation in affine geometry: the affine quasi-Einstein equation. Zbl 1392.53056
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier
3
2018
The affine quasi-Einstein equation for homogeneous surfaces. Zbl 1409.53037
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Valle-Regueiro, X.
1
2018
Geodesic completeness for type \(\mathcal{A}\) surfaces. Zbl 1378.53048
D’Ascanio, D.; Gilkey, P.; Pisani, P.
6
2017
Aspects of differential geometry. III. Zbl 1371.53001
Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón
1
2017
Moduli spaces of type \(\mathcal B\) surfaces with torsion. Zbl 1433.58013
Gilkey, Peter B.
1
2017
Moduli spaces of oriented type \(\mathcal{A}\) manifolds of dimension at least 3. Zbl 1400.53030
Gilkey, Peter; Park, Jeonghyeong
1
2017
Homogeneous affine surfaces: moduli spaces. Zbl 1345.53015
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.
8
2016
Anti-invariant Riemannian submersions: a Lie-theoretical approach. Zbl 1357.53036
Gilkey, Peter; Itoh, Mitsuhiro; Park, Jeonghyeong
5
2016
The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor. Zbl 1352.53030
Gilkey, Peter B.
2
2016
Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds. Zbl 1353.53024
Gilkey, Peter B.; Park, Jeonghyeong; Sekigawa, Kouei
1
2016
Heat flow out of a compact manifold. Zbl 1322.58017
van den Berg, M.; Gilkey, P.
13
2015
Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics. Zbl 1317.53050
Gilkey, P.; Park, J. H.
4
2015
Homothety curvature homogeneity and homothety homogeneity. Zbl 1343.53072
García-Río, E.; Gilkey, P.; Nikčević, S.
3
2015
Aspects of differential geometry I. Zbl 1354.53001
Gilkey, Peter; Park, Jeong Hyeong; Vázquez-Lorenzo, Ramón
1
2015
Heat content with singular initial temperature and singular specific heat. Zbl 1320.58014
van den Berg, M.; Gilkey, P.
1
2015
Homogeneity of Lorentzian three-manifolds with recurrent curvature. Zbl 1307.53057
García-Río, Eduardo; Gilkey, Peter B.; Nikčević, Stana
9
2014
Neumann heat content asymptotics with singular initial temperature and singular specific heat. Zbl 1311.58015
van den Berg, M.; Gilkey, P.; Kang, H.
3
2013
Universal curvature identities. III. Zbl 1334.53012
Gilkey, P.; Park, J. H.; Sekigawa, K.
3
2013
(para)-Kähler Weyl structures. Zbl 1280.53032
Gilkey, P.; Nikčević, S.
2
2013
Applications of affine and Weyl geometry. Zbl 1273.53002
García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
1
2013
Affine projective Osserman structures. Zbl 1273.83029
Gilkey, P.; Nikčević, S.
1
2013
Universal curvature identities. II. Zbl 1246.53022
Gilkey, P.; Park, J. H.; Sekigawa, K.
7
2012
Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators. Zbl 1237.53070
Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R.
5
2012
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data. Zbl 1251.58009
van den Berg, M.; Gilkey, Peter B.; Grigor’yan, A.; Kirsten, K.
5
2012
Geometric realizations of curvature. Zbl 1253.53001
Brozos-Vázquez, Miguel; Gilkey, Peter B.; Nikcevic, Stana
4
2012
Heat content asymptotics with singular data. Zbl 1252.35150
van den Berg, M.; Gilkey, P.
2
2012
Kähler-Weyl manifolds of dimension 4. Zbl 1321.53018
Gilkey, P.; Nekčević, S.
1
2012
Growth of heat trace coefficients for locally symmetric spaces. Zbl 1283.58014
Gilkey, P.; Miatello, R. J.
1
2012
Kähler and para-Kähler curvature Weyl manifolds. Zbl 1299.53030
Gilkey, Peter; Stana, Nikčević
1
2012
Heat trace asymptotics and the Gauss-Bonnet theorem for general connections. Zbl 1255.58009
Beneventano, C. G.; Gilkey, P.; Kirsten, K.; Santangelo, E. M.
1
2012
Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds. Zbl 1331.53046
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Hervella, Luis Maria
1
2012
Geometric realizations, curvature decompositions, and Weyl manifolds. Zbl 1208.53013
Gilkey, Peter; Nikčević, Stana; Simon, Udo
9
2011
Universal curvature identities. Zbl 1259.53013
Gilkey, P.; Park, J. H.; Sekigawa, K.
6
2011
Geometric realizations of affine Kähler curvature models. Zbl 1257.53034
Brozos-Vázquez, M.; Gilkey, P.; Nikčević, S.
3
2011
Growth of heat trace and heat content asymptotic coefficients. Zbl 1238.58017
van den Berg, M.; Gilkey, Peter; Kirsten, K.
2
2011
Curvature properties of Weyl geometries. Zbl 1260.53031
Gilkey, Peter; Nikčević, Stana; Simon, Udo
1
2011
Geometric realizations of Kaehler and of para-Kaehler curvature models. Zbl 1193.53088
Brozos-Vázquez, M.; Gilkey, P.; Merino, E.
5
2010
The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order. Zbl 1225.58011
Gilkey, Peter B.; Miatello, Roberto J.; Podestá, Ricardo A.
4
2010
Four-dimensional Osserman metrics of neutral signature. Zbl 1186.53028
García-Río, Eduardo; Gilkey, Peter B.; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, Ramón
2
2010
Geometric realizations of Hermitian curvature models. Zbl 1205.53016
Brozos-Vázquez, Miguel; Gilkey, Peter; Kang, Hyunsuk; Nikčević, Stana
1
2010
The geometry of Walker manifolds. Zbl 1206.53039
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
41
2009
The geometry of modified Riemannian extensions. Zbl 1186.53056
Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R.
24
2009
Geometric realizations of curvature models by manifolds with constant scalar curvature. Zbl 1191.53017
Brozos-Vázquez, M.; Gilkey, P.; Kang, H.; Nikčević, S.; Weingart, G.
7
2009
Heat trace asymptotics with singular weight functions. Zbl 1237.58028
van den Berg, Michiel; Gilkey, Peter B.; Kirsten, Klaus; Seeley, Robert T.
4
2009
Geometric theory of equiaffine curvature tensors. Zbl 1195.53021
Gilkey, Peter; Nikčević, Stana; Simon, Udo
4
2009
Geometric realizations of para-Hermitian curvature models. Zbl 1191.53023
Brozos-Vázquez, Miguel; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón
4
2009
Heat content, heat trace, and isospectrality. Zbl 1208.58030
Gilkey, Peter B.
4
2009
Geometric realizations of curvature. Zbl 1184.53021
Brozos-Vázquez, Miguel; Gilkey, Peter; Nikčević, Stana
2
2009
Geometric realizations of generalized algebraic curvature operators. Zbl 1200.53013
Gilkey, P.; Nikčević, S.; Westerman, D.
2
2009
Heat content asymptotics with singular initial temperature distributions. Zbl 1143.58013
van den Berg, M.; Gilkey, P.; Seeley, R.
8
2008
The spectral geometry of operators of Dirac and Laplace type. Zbl 1236.58035
Gilkey, Peter B.
4
2008
Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold. Zbl 1180.53030
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.
4
2008
Curvature structure of self-dual 4-manifolds. Zbl 1163.53010
Blažić, Novica; Gilkey, Peter; Nikčević, Stana; Stavrov, Iva
4
2008
Geometrical representations of equiaffine curvature operators. Zbl 1167.53022
Gilkey, Peter B.; Nikčević, Stana Ž.
2
2008
Projectively Osserman manifolds. Zbl 1174.53009
Brozos-Vázquez, Miguel; Gilkey, Peter; Nikčević, Stana; Simon, Udo
1
2008
The geometry of curvature homogeneous pseudo-Riemannian manifolds. Zbl 1128.53041
Gilkey, Peter B.
17
2007
Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions. Zbl 1114.58022
van den Berg, M.; Gilkey, P.; Kirsten, K.; Kozlov, V. A.
10
2007
Pseudo-Riemannian Jacobi-Videv manifolds. Zbl 1141.53014
Gilkey, P.; Nikčević, S.
5
2007
Examples of signature \((2,2)\) manifolds with commuting curvature operators. Zbl 1129.53058
Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R.
3
2007
The global geometry of Riemannian manifolds with commuting curvature operators. Zbl 1129.58007
Brozos-Vázquez, M.; Gilkey, P.
3
2007
The spectral geometry of the canonical Riemannian submersion of a compact Lie group. Zbl 1140.58012
Dunn, C.; Gilkey, P.; Park, J. H.
1
2007
Stanilov-Tsankov-Videv theory. Zbl 1133.53013
Brozos-Vázquez, Miguel; Fiedler, Bernd; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Stanilov, Grozio; Tsankov, Yulian; Vázquez-Lorenzo, Ramón; Videv, Veselin
1
2007
Algebraic theory of affine curvature tensors. Zbl 1164.53320
Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U.
5
2006
Manifolds with commuting Jacobi operators. Zbl 1125.53025
Brozos-Vázquez, Miguel; Gilkey, Peter
4
2006
Pseudo-Riemannian manifolds with commuting Jacobi operators. Zbl 1194.53029
Brozos-Vázquez, M.; Gilkey, P.
2
2006
Complete \(k\)-curvature homogeneous pseudo-Riemannian manifolds. Zbl 1090.53021
Gilkey, P.; Nikčević, S.
4
2005
Affine curvature homogeneous 3-dimensional Lorentz manifolds. Zbl 1091.53012
Gilkey, P.; Nikčević, S.
4
2005
Conformally Osserman manifolds and self-duality in Riemannian geometry. Zbl 1117.53028
Blažić, Novica; Gilkey, Peter
4
2005
Stability theorems for chiral bag boundary conditions. Zbl 1114.58013
Gilkey, P.; Kirsten, K.
3
2005
Heat kernel coefficients for chiral bag boundary conditions. Zbl 1060.58016
Esposito, Giampiero; Gilkey, Peter; Kirsten, Klaus
3
2005
Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous. Zbl 1079.53101
Dunn, Corey; Gilkey, Peter B.
3
2005
Generalized plane wave manifolds. Zbl 1143.53337
Gilkey, Peter B.; Nikčević, Stana Ž.
3
2005
The spectral geometry of the Weyl conformal tensor. Zbl 1091.53007
Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U.
2
2005
Curvature homogeneous signature \((2,2)\) manifolds. Zbl 1121.53016
Dunn, Corey; Gilkey, Peter; Nikčević, Stana
2
2005
Eta invariants with spectral boundary conditions. Zbl 1083.58027
Gilkey, P.; Kirsten, K.; Park, J.-H.
1
2005
Asymptotic formulae in spectral geometry. Zbl 1080.58023
Gilkey, Peter B.
66
2004
Heat content and a Hardy inequality for complete Riemannian manifolds. Zbl 1174.58306
van den Berg, M.; Gilkey, P. B.
10
2004
Complete curvature homogeneous pseudo-Riemannian manifolds. Zbl 1067.53057
Gilkey, P.; Nikčević, S.
6
2004
Conformally Osserman manifolds and conformally complex space forms. Zbl 1076.53038
Blažić, N.; Gilkey, P.
3
2004
The structure of algebraic covariant derivative curvature tensors. Zbl 1080.53017
Díaz-Ramos, J.; Fiedler, B.; García-Río, E.; Gilkey, P.
2
2004
Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary. Zbl 1083.58028
Gilkey, P.; Kirsten, K.; Vassilevich, D.
2
2004
Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds. Zbl 1053.53018
Gilkey, P.; Nikčević, S.
2
2004
Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds. Zbl 1051.53057
Gilkey, P.; Nikčević, S.
2
2004
Heat content asymptotics for operators of Laplace type with spectral boundary conditions. Zbl 1135.58302
Gilkey, P.; Kirsten, K.; Park, J. H.
1
2004
Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex. Zbl 1005.81081
Gilkey, P.; Kirsten, K.; Vassilevich, D.; Zelnikov, A.
5
2003
Heat content asymptotics with transmittal and transmission boundary conditions. Zbl 1051.58012
Gilkey, P. B.; Kirsten, K.
5
2003
Szabó Osserman IP pseudo-Riemannian manifolds. Zbl 1026.53007
Gilkey, Peter B.; Ivanova, Raina; Zhang, Tan
5
2003
Strong ellipticity and spectral properties of chiral bag boundary conditions. Zbl 1079.58022
Beneventano, C. G.; Gilkey, P. B.; Kirsten, K.; Santangelo, E. M.
4
2003
Heat trace asymptotics defined by transfer boundary conditions. Zbl 1044.58034
Gilkey, Peter; Kirsten, Klaus; Vassilevich, Dmitri
4
2003
Jordan Szabó algebraic covariant derivative curvature tensors. Zbl 1055.53009
Gilkey, Peter B.; Ivanova, Raina; Stavrov, Iva
3
2003
...and 119 more Documents
all top 5

Cited by 1,148 Authors

110 Gilkey, Peter B.
38 García-Río, Eduardo
29 Kirsten, Klaus
26 van den Berg, Michiel
21 Vassilevich, Dmitri V.
20 Brozos-Vázquez, Miguel
20 Vázquez-Lorenzo, Ramón
16 Avramidi, Ivan G.
16 Branson, Thomas Patrick
14 Fucci, Guglielmo
12 Iochum, Bruno
11 Connes, Alain
11 Nikčević, Stana Ž.
11 Spreafico, Mauro
10 Calviño-Louzao, Esteban
10 Lesch, Matthias
10 Park, Jeonghyeong
9 Brüning, Jochen
9 Díaz-Ramos, José Carlos
9 Fathizadeh, Farzad
9 van Suijlekom, Walter Daniël
8 Botvinnik, Boris I.
8 Calvaruso, Giovanni
8 Khalkhali, Masoud
8 Tseytlin, Arkady Aleksandrovich
7 Bismut, Jean-Michel
7 Bokan, Neda
7 Loya, Paul A.
7 McDonald, Patrick
7 Miatello, Roberto Jorge
7 Ponge, Raphaël S.
7 Seeley, Robert Thomas
7 Valle-Regueiro, Xabier
7 Vanhecke, Lieven
7 Wang, Yong
7 Zaeim, Amirhesam
6 Alonso Izquierdo, A.
6 Blažić, Novica
6 Bordag, Michael
6 Braverman, Maxim
6 Chamseddine, Ali Hani
6 Dunn, Corey M.
6 Ginzburg, David
6 Kappeler, Thomas
6 Kowalski, Oldřich
6 Magnot, Jean-Pierre
6 Moscovici, Henri
6 Park, Jinsung
6 Rakić, Zoran
6 Rosenberg, Steven
6 Sekigawa, Kouei
6 Vavilov, Nikolaĭ Aleksandrovich
6 Vázquez Abal, María Elena
6 Wang, Jian
5 Awonusika, Richard Olu
5 Diallo, Abdoul Salam
5 Gayral, Victor
5 Gover, Ashwin Rod
5 Haji-Badali, Ali
5 Levy, Cyril
5 Marcolli, Matilde
5 Moroianu, Sergiu
5 Navarro Garmendia, José
5 Nikolaevskiĭ, Yuriĭ A.
5 Piazza, Paolo
5 Podestá, Ricardo A.
5 Schick, Thomas
5 Scholz, Erhard
5 Schüth, Dorothee
5 Simon, Udo
5 Walsh, Mark G.
5 Wojciechowski, Krzysztof P.
5 Zhang, Weiping
4 Acuña Valverde, Luis
4 Azzali, Sara
4 Bejan, Cornelia-Livia
4 Dowker, J. Stuart
4 García Fuertes, Wilfredo
4 Gordon, Carolyn S.
4 Lapidus, Michel L.
4 Léandre, Rémi
4 Lee, Yoonweon
4 Lott, John
4 Ludewig, Matthias
4 Ørsted, Bent
4 Paycha, Sylvie
4 Pisani, Pablo A. G.
4 Polterovich, Iosif
4 Schimming, Rainer
4 Sitarz, Andrzej
4 Stavrov, Iva
4 Stephan, Christoph A.
4 Sukochev, Fedor Anatol’evich
4 Tondeur, Philippe
4 Turgut, Osman Teoman
4 Vertman, Boris
4 Vîlcu, Gabriel Eduard
4 Xie, Zhizhang
4 Yu, Guoliang
3 Akant, Levent
...and 1,048 more Authors
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Cited in 234 Serials

73 Journal of Geometry and Physics
63 Communications in Mathematical Physics
59 Journal of Mathematical Physics
54 Journal of High Energy Physics
46 Journal of Functional Analysis
36 Transactions of the American Mathematical Society
35 Differential Geometry and its Applications
30 Nuclear Physics. B
26 The Journal of Geometric Analysis
25 Annals of Global Analysis and Geometry
22 International Journal of Geometric Methods in Modern Physics
19 Proceedings of the American Mathematical Society
18 Advances in Mathematics
18 Mathematische Zeitschrift
15 Geometry & Topology
14 Letters in Mathematical Physics
14 Mathematische Annalen
14 Results in Mathematics
14 Communications in Partial Differential Equations
13 Potential Analysis
12 Annales de l’Institut Fourier
12 Duke Mathematical Journal
11 Topology and its Applications
11 Journal of Mathematical Sciences (New York)
10 International Journal of Modern Physics A
10 Mathematische Nachrichten
10 International Journal of Mathematics
10 Geometric and Functional Analysis. GAFA
9 General Relativity and Gravitation
9 Compositio Mathematica
9 Inventiones Mathematicae
9 Journal of Geometry
9 Journal of Noncommutative Geometry
8 Journal of Mathematical Analysis and Applications
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
7 Israel Journal of Mathematics
7 Reviews in Mathematical Physics
7 Kodai Mathematical Journal
7 Acta Applicandae Mathematicae
7 Annals of Physics
6 Rocky Mountain Journal of Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Geometriae Dedicata
6 Manuscripta Mathematica
6 Tohoku Mathematical Journal. Second Series
6 Calculus of Variations and Partial Differential Equations
5 Communications in Algebra
5 International Journal of Theoretical Physics
5 Reports on Mathematical Physics
5 Journal of Algebra
5 Bulletin of the American Mathematical Society. New Series
5 St. Petersburg Mathematical Journal
5 Journal of Physics A: Mathematical and Theoretical
5 Journal of Pseudo-Differential Operators and Applications
4 Modern Physics Letters A
4 Physics Letters. B
4 Czechoslovak Mathematical Journal
4 Journal of Computational and Applied Mathematics
4 Journal of the Mathematical Society of Japan
4 Journal of Number Theory
4 Memoirs of the American Mathematical Society
4 Monatshefte für Mathematik
4 Osaka Journal of Mathematics
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Mathematical Physics, Analysis and Geometry
4 Physical Review Letters
4 Mediterranean Journal of Mathematics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Classical and Quantum Gravity
3 Mathematical Methods in the Applied Sciences
3 Nonlinearity
3 Acta Mathematica
3 Functional Analysis and its Applications
3 Integral Equations and Operator Theory
3 Journal für die Reine und Angewandte Mathematik
3 Probability Theory and Related Fields
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Turkish Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Annales Henri Poincaré
3 Advances in Geometry
3 Algebraic & Geometric Topology
3 Foundations of Physics
3 Journal of Fixed Point Theory and Applications
3 Journal of \(K\)-Theory
3 Advances in Mathematical Physics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 PUMP Journal of Undergraduate Research
2 International Journal of Modern Physics B
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Physics Reports
2 Theoretical and Mathematical Physics
2 Mathematics of Computation
2 Beiträge zur Algebra und Geometrie
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Indiana University Mathematics Journal
...and 134 more Serials
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Cited in 54 Fields

579 Global analysis, analysis on manifolds (58-XX)
476 Differential geometry (53-XX)
237 Quantum theory (81-XX)
211 Partial differential equations (35-XX)
114 Relativity and gravitational theory (83-XX)
80 Functional analysis (46-XX)
74 Manifolds and cell complexes (57-XX)
64 Operator theory (47-XX)
43 Number theory (11-XX)
42 Algebraic topology (55-XX)
39 \(K\)-theory (19-XX)
34 Group theory and generalizations (20-XX)
26 Topological groups, Lie groups (22-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Probability theory and stochastic processes (60-XX)
23 Several complex variables and analytic spaces (32-XX)
22 Algebraic geometry (14-XX)
22 Statistical mechanics, structure of matter (82-XX)
20 Ordinary differential equations (34-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
14 Nonassociative rings and algebras (17-XX)
13 Functions of a complex variable (30-XX)
13 Mechanics of particles and systems (70-XX)
12 Special functions (33-XX)
8 Measure and integration (28-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of deformable solids (74-XX)
6 Real functions (26-XX)
6 Computer science (68-XX)
6 Astronomy and astrophysics (85-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Information and communication theory, circuits (94-XX)
4 Associative rings and algebras (16-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
4 Statistics (62-XX)
4 Optics, electromagnetic theory (78-XX)
3 Combinatorics (05-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Numerical analysis (65-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

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