## DeTurck, Dennis M.

Compute Distance To:
 Author ID: deturck.dennis-m Published as: DeTurck, Dennis; DeTurck, Dennis M.; DeTurck, D.; DeTurck, D. M.; DeTurk, Dennis Homepage: https://www.math.upenn.edu/~deturck/ External Links: MGP · Wikidata · dblp · IdRef Member of Collective: Besse, Arthur Lancelot
 Documents Indexed: 53 Publications since 1980 1 Contribution as Editor Co-Authors: 29 Co-Authors with 43 Joint Publications 380 Co-Co-Authors
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### Co-Authors

 11 single-authored 20 Gluck, Herman 10 Gordon, Carolyn S. 6 Goldschmidt, Hubert Leopold 6 Webb, David L. 4 Cantarella, Jason H. 4 Talvacchia, Janet 4 Vela-Vick, David Shea 3 Komendarczyk, Rafal 3 Melvin, Paul M. 3 Shonkwiler, Clayton 3 Ziller, Wolfgang 2 Cao, Jianguo 2 Kamberov, George I. 2 Yang, Deane 1 Cappell, Sylvain E. 1 Chang, Pei-Kun 1 Elsaify, Amora 1 Grossmann, Benjamin 1 Hoisington, Joseph Ansel 1 Kazdan, Jerry L. 1 Koiso, Norihito 1 Krishnan, Anusha M. 1 Lee, Kyung Bai 1 Miller, Edward Y. 1 Nuchi, Haggai 1 Pomerleano, Daniel 1 Scedrov, Andre 1 Storm, Peter A. 1 Teytel, Mikhail 1 Zhang, Jianru
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### Serials

 4 Journal of Mathematical Physics 3 Notices of the American Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Commentarii Mathematici Helvetici 2 Inventiones Mathematicae 2 Journal of Differential Geometry 2 Forum Mathematicum 2 Bulletin of the American Mathematical Society. New Series 2 Matemática Contemporânea 2 Algebraic & Geometric Topology 1 American Mathematical Monthly 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Rendiconti del Seminario Matematico 1 Mathematical Modelling 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Contemporary Mathematics
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### Fields

 40 Differential geometry (53-XX) 24 Global analysis, analysis on manifolds (58-XX) 11 Partial differential equations (35-XX) 9 Manifolds and cell complexes (57-XX) 6 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 604 times in 456 Documents Cited by Year
Some regularity theorems in Riemannian geometry. Zbl 0486.53014
DeTurck, Dennis M.; Kazdan, Jerry L.
1981
Deforming metrics in the direction of their Ricci tensors. Zbl 0517.53044
DeTurck, Dennis M.
1983
Existence of metrics with prescribed Ricci curvature: Local theory. Zbl 0489.53014
DeTurck, Dennis M.
1981
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2002
Isospectral deformations. II: Trace formulas, metrics, and potentials. Zbl 0709.53030
DeTurck, Dennis M.; Gordon, Carolyn S.
1989
Uniqueness and non-existence of metrics with prescribed Ricci curvature. Zbl 0556.53026
DeTurck, Dennis M.; Koiso, Norihito
1984
Isospectral deformations. I: Riemannian structures on two-step nilspaces. Zbl 0649.53025
DeTurck, Dennis M.; Gordon, Carolyn S.
1987
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2001
Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail
2000
Cohomology of harmonic forms on Riemannian manifolds with boundary. Zbl 1114.53031
Cappell, Sylvain; DeTurck, Dennis; Gluck, Herman; Miller, Edward Y.
2006
Metrics with prescribed Ricci curvature of constant rank. I: The integrable case. Zbl 0951.53013
DeTurck, Dennis; Goldschmidt, Hubert
1999
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature. Zbl 0527.53037
DeTurck, Dennis M.
1983
The Ricci curvature equation with rotational symmetry. Zbl 0824.53034
Cao, Jianguo; DeTurck, Dennis
1994
Existence of elastic deformations with prescribed principal strains and triply orthogonal systems. Zbl 0544.53012
DeTurck, Dennis M.; Yang, Deane
1984
The approach to consistency in the analytic hierarchy process. Zbl 0631.90003
DeTurck, D. M.
1987
The four vertex theorem and its converse. Zbl 1142.53004
DeTurck, Dennis; Gluck, Herman; Pomerleano, Daniel; Vick, David Shea
2007
Metrics with prescribed Ricci curvature. Zbl 0478.53031
DeTurck, Dennis M.
1982
Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. Zbl 1153.81348
DeTurck, Dennis; Gluck, Herman
2008
Minimal isometric immersions of spherical space forms in spheres. Zbl 0768.53028
DeTurck, Dennis; Ziller, Wolfgang
1992
Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links. Zbl 1194.57007
DeTurck, D.; Gluck, H.; Komendarczyk, R.; Melvin, P.; Shonkwiler, C.; Vela-Vick, D. S.
2008
You can not hear the mass of a homology class. Zbl 0694.53037
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1989
Regularity theorems in Riemannian geometry. II: Harmonic curvature and the Weyl tensor. Zbl 0727.53025
DeTurck, Dennis; Goldschmidt, Hubert
1989
Prescribing positive Ricci curvature on compact manifolds. Zbl 0619.53030
DeTurck, Dennis M.
1985
The inaudible geometry of nilmanifolds. Zbl 0779.53026
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1993
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2001
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. Zbl 1328.57007
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea
2013
Connections with prescribed curvature and Yang-Mills currents: The semi- simple case. Zbl 0722.53021
DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet
1991
The geometry of isospectral deformations. Zbl 0811.53035
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1993
Prescribing Ricci curvature on open surfaces. Zbl 0751.53014
Cao, Jianguo; DeTurck, Dennis
1991
The equations of prescribed Ricci curvature. Zbl 0457.53009
DeTurck, Dennis M.
1980
Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space. Zbl 1268.53083
DeTurck, Dennis; Gluck, Herman
2013
Lipschitz minimality of Hopf fibrations and Hopf vector fields. Zbl 1268.53054
DeTurck, Dennis; Gluck, Herman; Storm, Peter
2013
How can a drum change shape, while sounding the same? Zbl 0728.58039
DeTurck, D.; Gluck, H.; Gordon, C.; Webb, D.
1991
Spherical minimal immersions of spherical space forms. Zbl 0840.53047
DeTurck, Dennis; Ziller, Wolfgang
1993
Conformal isospectral deformations. Zbl 0742.58055
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1992
Linking integrals in the $$n$$-sphere. Zbl 1195.57056
DeTurck, D.; Gluck, H.
2008
On hearing the shape of a triangle. Zbl 0721.58053
Chang, Pei-Kun; DeTurck, Dennis
1989
Local existence of smooth metrics with prescribed curvature. Zbl 0587.53040
DeTurck, Dennis; Yang, Deane
1986
Local existence of connections with prescribed curvature. Zbl 0749.53006
DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet
1990
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II. Zbl 1348.57007
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Nuchi, Haggai; Shonkwiler, Clayton; Vela-Vick, David Shea
2013
A singular problem in elasticity theory. Zbl 0699.73030
DeTurck, Dennis M.; Kamberov, Georgi
1987
How can a drum change shape, while sounding the same? II. Zbl 0728.58040
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1991
Isospectral metrics and finite Riemannian coverings. Zbl 0646.58030
DeTurck, Dennis M.; Gordon, Carolyn S.
1987
Connections with prescribed curvature. Zbl 0627.53027
DeTurck, D.; Talvacchia, J.
1987
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. Zbl 1328.57007
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea
2013
Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space. Zbl 1268.53083
DeTurck, Dennis; Gluck, Herman
2013
Lipschitz minimality of Hopf fibrations and Hopf vector fields. Zbl 1268.53054
DeTurck, Dennis; Gluck, Herman; Storm, Peter
2013
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II. Zbl 1348.57007
DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Nuchi, Haggai; Shonkwiler, Clayton; Vela-Vick, David Shea
2013
Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. Zbl 1153.81348
DeTurck, Dennis; Gluck, Herman
2008
Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links. Zbl 1194.57007
DeTurck, D.; Gluck, H.; Komendarczyk, R.; Melvin, P.; Shonkwiler, C.; Vela-Vick, D. S.
2008
Linking integrals in the $$n$$-sphere. Zbl 1195.57056
DeTurck, D.; Gluck, H.
2008
The four vertex theorem and its converse. Zbl 1142.53004
DeTurck, Dennis; Gluck, Herman; Pomerleano, Daniel; Vick, David Shea
2007
Cohomology of harmonic forms on Riemannian manifolds with boundary. Zbl 1114.53031
Cappell, Sylvain; DeTurck, Dennis; Gluck, Herman; Miller, Edward Y.
2006
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2002
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2001
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
2001
Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail
2000
Metrics with prescribed Ricci curvature of constant rank. I: The integrable case. Zbl 0951.53013
DeTurck, Dennis; Goldschmidt, Hubert
1999
The Ricci curvature equation with rotational symmetry. Zbl 0824.53034
Cao, Jianguo; DeTurck, Dennis
1994
The inaudible geometry of nilmanifolds. Zbl 0779.53026
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1993
The geometry of isospectral deformations. Zbl 0811.53035
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1993
Spherical minimal immersions of spherical space forms. Zbl 0840.53047
DeTurck, Dennis; Ziller, Wolfgang
1993
Minimal isometric immersions of spherical space forms in spheres. Zbl 0768.53028
DeTurck, Dennis; Ziller, Wolfgang
1992
Conformal isospectral deformations. Zbl 0742.58055
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1992
Connections with prescribed curvature and Yang-Mills currents: The semi- simple case. Zbl 0722.53021
DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet
1991
Prescribing Ricci curvature on open surfaces. Zbl 0751.53014
Cao, Jianguo; DeTurck, Dennis
1991
How can a drum change shape, while sounding the same? Zbl 0728.58039
DeTurck, D.; Gluck, H.; Gordon, C.; Webb, D.
1991
How can a drum change shape, while sounding the same? II. Zbl 0728.58040
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1991
Local existence of connections with prescribed curvature. Zbl 0749.53006
DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet
1990
Isospectral deformations. II: Trace formulas, metrics, and potentials. Zbl 0709.53030
DeTurck, Dennis M.; Gordon, Carolyn S.
1989
You can not hear the mass of a homology class. Zbl 0694.53037
DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David
1989
Regularity theorems in Riemannian geometry. II: Harmonic curvature and the Weyl tensor. Zbl 0727.53025
DeTurck, Dennis; Goldschmidt, Hubert
1989
On hearing the shape of a triangle. Zbl 0721.58053
Chang, Pei-Kun; DeTurck, Dennis
1989
Isospectral deformations. I: Riemannian structures on two-step nilspaces. Zbl 0649.53025
DeTurck, Dennis M.; Gordon, Carolyn S.
1987
The approach to consistency in the analytic hierarchy process. Zbl 0631.90003
DeTurck, D. M.
1987
A singular problem in elasticity theory. Zbl 0699.73030
DeTurck, Dennis M.; Kamberov, Georgi
1987
Isospectral metrics and finite Riemannian coverings. Zbl 0646.58030
DeTurck, Dennis M.; Gordon, Carolyn S.
1987
Connections with prescribed curvature. Zbl 0627.53027
DeTurck, D.; Talvacchia, J.
1987
Local existence of smooth metrics with prescribed curvature. Zbl 0587.53040
DeTurck, Dennis; Yang, Deane
1986
Prescribing positive Ricci curvature on compact manifolds. Zbl 0619.53030
DeTurck, Dennis M.
1985
Uniqueness and non-existence of metrics with prescribed Ricci curvature. Zbl 0556.53026
DeTurck, Dennis M.; Koiso, Norihito
1984
Existence of elastic deformations with prescribed principal strains and triply orthogonal systems. Zbl 0544.53012
DeTurck, Dennis M.; Yang, Deane
1984
Deforming metrics in the direction of their Ricci tensors. Zbl 0517.53044
DeTurck, Dennis M.
1983
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature. Zbl 0527.53037
DeTurck, Dennis M.
1983
Metrics with prescribed Ricci curvature. Zbl 0478.53031
DeTurck, Dennis M.
1982
Some regularity theorems in Riemannian geometry. Zbl 0486.53014
DeTurck, Dennis M.; Kazdan, Jerry L.
1981
Existence of metrics with prescribed Ricci curvature: Local theory. Zbl 0489.53014
DeTurck, Dennis M.
1981
The equations of prescribed Ricci curvature. Zbl 0457.53009
DeTurck, Dennis M.
1980
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### Cited by 548 Authors

 14 DeTurck, Dennis M. 9 Gordon, Carolyn S. 7 Delay, Erwann 6 Alonso Rodríguez, Ana 6 Gluck, Herman 6 Komendarczyk, Rafal 6 Schüth, Dorothee 5 Gornet, Ruth 5 Lassas, Matti J. 5 Pulemotov, Artem 5 Rossetti, Juan Pablo 5 Shonkwiler, Clayton 4 Anderson, Michael T. 4 Azami, Shahroud 4 Choi, Young-Jun 4 Hintz, Peter 4 Miatello, Roberto Jorge 4 Mikeš, Josef 4 Pieterzack, Mauricio 4 Pina, Romildo da Silva 4 Razavi, Asadollah 4 Stepanov, Sergeĭ Evgen’evich 4 Streets, Jeffrey D. 4 Taylor, Michael Eugene 4 Tenenblat, Keti 4 Toth, Gabor 4 Valli, Alberto 4 Webb, David L. 4 Witt, Frederik 3 Akhmet’ev, Pëtr Mikhaĭlovich 3 Brendle, Simon 3 Calvaruso, Giovanni 3 Cattaneo, Alberto Sergio 3 Chen, Binglong 3 Chow, Bennett 3 Gerner, Wadim 3 Ghahremani-Gol, Hajar 3 Ghiloni, Riccardo 3 Ghomi, Mohammad 3 Jin, Xiaoshang 3 Kowalski, Oldřich 3 Kurylëv, Yaroslav Vadimovich 3 Lauret, Emilio A. 3 LeBrun, Claude R. 3 Mnëv, Pavel 3 Tsyganok, Irina Ivanovna 3 Vela-Vick, David Shea 3 Weiss, Hartmut 3 Wu, Jiayong 3 Yang, Deane 3 Yavari, Arash 2 Ammann, Bernd Eberhard 2 Balandin, Alexander Leonidovich 2 Bamler, Richard H. 2 Ben Abdeljelil, Khaoula 2 Benedetti, Riccardo 2 Bertolazzi, Enrico 2 Brooks, Robert Wolfe 2 Burkhardt-Guim, Paula 2 Buttsworth, Timothy 2 Camaño, Jessika 2 Cantarella, Jason H. 2 Carfora, Mauro 2 Catino, Giovanni 2 Csikós, Balázs 2 Delanoë, Philippe P. 2 Derdzinski, Andrzej 2 Donegan, H. A. 2 Enciso, Alberto 2 Escher, Christine M. 2 Eshraghi, Homayoon 2 Frigerio, Roberto 2 Fu, Haiping 2 Grigorian, Sergey 2 Gross, Leonard 2 Gu, Weiqing 2 Ho, Pak Tung 2 Hornig, Gunnar 2 Horváth, Márton 2 Kappeler, Thomas 2 Karp, Lavi 2 Katsuda, Atsushi 2 Koiso, Norihito 2 Kong, Dexing 2 Koytcheff, Robin 2 Kôzaki, Masanori 2 Kruglikov, Boris S. 2 Lee, John M. 2 LeFloch, Philippe Gerard 2 Li, Xingxiao 2 McMaster, T. Brian M. 2 Melvin, Paul M. 2 Moroianu, Andrei 2 Muñoz Masqué, Jaime 2 Oh, Sung-Jin 2 Oksanen, Lauri 2 Parsley, Jason 2 Proctor, Emily 2 Rapetti, Francesca 2 Reshetikhin, Nikolai Yu. ...and 448 more Authors
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### Cited in 156 Serials

 26 Journal of Geometry and Physics 20 The Journal of Geometric Analysis 19 Journal of Mathematical Physics 16 Transactions of the American Mathematical Society 14 Advances in Mathematics 14 Proceedings of the American Mathematical Society 13 Communications in Mathematical Physics 12 Annals of Global Analysis and Geometry 11 Duke Mathematical Journal 10 Differential Geometry and its Applications 9 Mathematische Annalen 9 Mathematische Zeitschrift 9 Bulletin of the American Mathematical Society. New Series 8 Geometriae Dedicata 8 Calculus of Variations and Partial Differential Equations 7 Inventiones Mathematicae 7 Journal of High Energy Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Differential Equations 6 Journal of Functional Analysis 6 Geometric and Functional Analysis. GAFA 5 Journal of Mathematical Analysis and Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Compositio Mathematica 4 General Relativity and Gravitation 4 Annales de l’Institut Fourier 4 Michigan Mathematical Journal 4 Results in Mathematics 4 Topology and its Applications 4 European Journal of Operational Research 4 Algebraic & Geometric Topology 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 The Mathematical Intelligencer 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Journal of the American Mathematical Society 3 Mathematical and Computer Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Sciences (New York) 3 Science China. Mathematics 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Czechoslovak Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 International Journal of Mathematics 2 Expositiones Mathematicae 2 Journal of Knot Theory and its Ramifications 2 Journal of Mathematical Imaging and Vision 2 Russian Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Japanese Journal of Mathematics. 3rd Series 2 Communications in Mathematics and Statistics 2 Analysis and Geometry in Metric Spaces 2 Annals of PDE 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Beiträge zur Algebra und Geometrie 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Approximation Theory 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 56 more Serials
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### Cited in 49 Fields

 290 Differential geometry (53-XX) 126 Global analysis, analysis on manifolds (58-XX) 102 Partial differential equations (35-XX) 38 Relativity and gravitational theory (83-XX) 36 Manifolds and cell complexes (57-XX) 27 Fluid mechanics (76-XX) 23 Quantum theory (81-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Numerical analysis (65-XX) 15 Optics, electromagnetic theory (78-XX) 13 Topological groups, Lie groups (22-XX) 13 Algebraic topology (55-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Algebraic geometry (14-XX) 9 Mechanics of deformable solids (74-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Convex and discrete geometry (52-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Potential theory (31-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

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