# zbMATH — the first resource for mathematics

## Penrose, Roger

Compute Distance To:
 Author ID: penrose.roger Published as: Penrose, R.; Penrose, Roger Homepage: https://www.maths.ox.ac.uk/people/roger.penrose External Links: MGP · Wikidata · dblp · GND · MacTutor Awards: Nobel Prize in Physics (2020)
 Documents Indexed: 123 Publications since 1955, including 25 Books Biographic References: 7 Publications
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#### Co-Authors

 96 single-authored 4 Rindler, Wolfgang 3 Hawking, Stephen William 3 Newman, Ezra Ted 2 Eastwood, Michael G. 2 Geroch, Robert 2 Kronheimer, Erwin H. 1 Coxeter, Harold Scott MacDonald 1 Dunajski, Maciej 1 Emmer, Michele 1 Escher, Maurits Cornelis 1 Frauendiener, Jörg 1 Hansen, R. O. 1 Held, Alan 1 Isham, Chris J. 1 Ko, Minseok 1 Moroz, Irene M. 1 Munn, Walter Douglas 1 Robinson, Ivor 1 Smith, Cedric A. B. 1 Tafel, Jacek 1 Teuber, M. L. 1 Tod, Kenneth Paul 1 Tod, Paul 1 Walker, Martin 1 Wells, Raymond O. jun. 1 Whitehead, John Henry Constantine 1 Zeeman, Erik Christopher 1 Zimba, Jason
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#### Serials

 8 General Relativity and Gravitation 4 Classical and Quantum Gravity 4 Journal of Mathematical Physics 4 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 4 Proceedings of the Cambridge Philosophical Society 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Foundations of Physics 3 Cambridge Monographs on Mathematical Physics 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 The Mathematical Intelligencer 1 Journal of Statistical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews of Modern Physics 1 Chaos, Solitons and Fractals 1 Studies in History and Philosophy of Science 1 Topologie Structurale 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Higher-Order and Symbolic Computation 1 Physical Review Letters 1 International Studies in the Philosophy of Science 1 Acta Physica Polonica B 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Philosophical Transactions A. Royal Society of London
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#### Fields

 78 Relativity and gravitational theory (83-XX) 47 Differential geometry (53-XX) 34 Quantum theory (81-XX) 21 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 13 Several complex variables and analytic spaces (32-XX) 6 Algebraic geometry (14-XX) 5 Geometry (51-XX) 5 Convex and discrete geometry (52-XX) 5 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

87 Publications have been cited 5,112 times in 3,977 Documents Cited by Year
A generalized inverse for matrices. Zbl 0065.24603
Penrose, R.
1955
An approach to gravitational radiation by a method of spin coefficients. Zbl 0108.40905
Newman, E.; Penrose, Roger
1963
Spinors and space-time. Volume 1: Two-spinor calculus and relativistic fields. Zbl 0538.53024
Penrose, Roger; Rindler, Wolfgang
1984
Spinors and space-time. Vol. 2: Spinor and twistor methods in space-time geometry. Zbl 0591.53002
Penrose, Roger; Rindler, Wolfgang
1986
Gravitational collapse and space-time singularities. Zbl 0125.21206
Penrose, Roger
1965
The singularities of gravitational collapse and cosmology. Zbl 0954.83012
Hawking, S. W.; Penrose, R.
1970
Nonlinear gravitons and curved twistor theory. Zbl 0354.53025
Penrose, Roger
1976
Zero rest-mass fields including gravitation: asymptotic behaviour. Zbl 0129.41202
Penrose, Roger
1965
Twistor algebra. Zbl 0163.22602
Penrose, Roger
1967
On gravity’s role in quantum state reduction. Zbl 0855.53046
Penrose, Roger
1996
Techniques of differential topology in relativity. Zbl 0321.53001
Penrose, Roger
1972
A spinor approach to general relativity. Zbl 0091.21404
Penrose, Roger
1960
On best approximate solutions of linear matrix equations. Zbl 0070.12501
Penrose, R.
1956
On quadratic first integrals of the geodesic equations for type [22] spacetimes. Zbl 0197.26404
Walker, Martin; Penrose, Roger
1970
Spherically-symmetric solutions of the Schrödinger-Newton equations. Zbl 0936.83037
Moroz, Irene M.; Penrose, Roger; Tod, Paul
1998
The road to reality. A complete guide to the laws of the universe. Zbl 1188.00007
Penrose, Roger
2005
A space-time calculus based on pairs of null directions. Zbl 0875.53014
Geroch, R.; Held, A.; Penrose, Roger
1973
Structure of space-time. Zbl 0174.55901
Penrose, Roger
1968
Cohomology and massless fields. Zbl 0465.58031
Eastwood, Michael G.; Penrose, Roger; Wells, R. O. jun.
1981
Ideal points in space-time. Zbl 0257.53059
Geroch, R.; Kronheimer, E. H.; Penrose, Roger
1972
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
1996
Gravitational collapse: The role of general relativity. Zbl 1001.83040
Penrose, R.
2002
The emperor’s new mind. Concerning computers, minds, and the laws of physics. Foreword by Martin Gardner. Zbl 0749.00009
Penrose, Roger
1990
Pentaplexity. A class of non-periodic tilings of the plane. Zbl 0426.52005
Penrose, Roger
1979
Any space-time has a plane wave as a limit. Zbl 0349.53019
Penrose, Roger
1976
Applications of negative dimensional tensors. Zbl 0216.43502
Penrose, Roger
1971
Quantum computation, entanglement and state reduction. Zbl 1152.81659
Penrose, Roger
1998
A remarkable property of plane waves in general relativity. Zbl 0125.21101
Penrose, Roger
1965
Spinors and space-time. Two-spinor calculus and relativistic fields. (Spinory i prostranstvo-vremya. Dva-spinornoe ischislenie relyativitskie polya). Transl. from the English and with a foreword by D. V. Gal’tsov and V. I. Khlebnikov. Zbl 0663.53013
Penrose, Roger; Rindler, Wolfgang
1987
On the structure of causal spaces. Zbl 0148.46502
Kronheimer, E. H.; Penrose, Roger
1967
Naked singularities. Zbl 0925.53023
Penrose, Roger
1973
Shadows of the mind. A search for the missing science of consciousness. Zbl 0847.00001
Penrose, Roger
1995
Null hypersurface initial data for classical fields of arbitrary spin and for general relativity. Zbl 0452.53014
Penrose, Roger
1980
The central programme of twistor theory. Zbl 0994.81049
Penrose, Roger
1999
The metric and curvature properties of $$\mathcal H$$-space. Zbl 0391.53014
Hansen, R. O.; Newman, E. T.; Penrose, Roger; Tod, K. P.
1978
Cycles of time. An extraordinary new view of the universe. Zbl 1222.00011
Penrose, Roger
2010
Spinors and space-time. Volume 1: Two-spinor calculus and relativistic fields. (Reprinted with corrections). Zbl 0602.53001
Penrose, Roger; Rindler, Wolfgang
1986
Conformal treatment of infinity. Zbl 0148.46403
Penrose, Roger
1964
On Bell nonlocality without probabilities: More curious geometry. Zbl 0943.81501
Zimba, Jason; Penrose, Roger
1993
Imbedding of manifolds in Euclidean space. Zbl 0113.38101
Penrose, Roger; Whitehead, J. H. C.; Zeeman, E. C.
1961
The emperor’s new mind. Concerning computers, minds and the laws of physics. Zbl 0795.00009
Penrose, Roger
1990
The question of cosmic censorship. Zbl 0961.83031
Penrose, Roger
1998
Physical space-time and nonrealizable CR-structures. Zbl 0531.53058
Penrose, Roger
1983
The large, the small and the human mind. With chapters by Abner Shimony, Nancy Cartwright and Stephen Hawking. Edited and with a foreword by Malcolm Longair. Zbl 0927.00007
Penrose, Roger
1997
The geometry of impulsive gravitational waves. Zbl 0274.53050
Penrose, Roger
1972
A note on inverse semigroups. Zbl 0064.25101
Munn, W. D.; Penrose, R.
1955
Drawing with complex numbers. Zbl 1052.51505
Eastwood, Michael; Penrose, Roger
2000
Republication of: Conformal treatment of infinity. Zbl 1215.83019
Penrose, Roger
2011
Wavefunction collapse as a real gravitational effect. Zbl 1043.83018
Penrose, Roger
2000
Recent advances in global general relativity: A brief survey. Zbl 0438.53058
Penrose, Roger
1979
Fashion, faith, and fantasy in the new physics of the universe. Zbl 1346.00057
Penrose, Roger
2016
On the gravitization of quantum mechanics. I: Quantum state reduction. Zbl 1311.81009
Penrose, Roger
2014
Cycles of time. An extraordinary new view of the universe. Zbl 1231.00017
Penrose, Roger
2011
The emperor’s new mind. Concerning computers, minds, and the laws of physics. Revised edition. Zbl 1380.00018
Penrose, Roger
2016
On the gravitization of quantum mechanics. II: Conformal cyclic cosmology. Zbl 1302.83041
Penrose, Roger
2014
Twistor theory and the Einstein vacuum. Zbl 0956.83036
Penrose, Roger
1999
Relativistic symmetry groups. Zbl 0281.22021
Penrose, Roger
1974
Some unsolved problems in classical general relativity. Zbl 0481.53053
Penrose, Roger
1982
The Kähler structure of asymptotic twistor space. Zbl 0357.53013
Ko, M.; Newman, E. T.; Penrose, Roger
1977
Quantum concepts in space in time. (Conference held at Lincoln College, Oxford, March 1984). Zbl 0604.00014
Penrose, R. (ed.); Isham, C. J. (ed.)
1986
On Schwarzschild causality - a problem for ”Lorentz covariant” general relativity. Zbl 0467.53038
Penrose, Roger
1980
Causality, quantum theory and cosmology. Zbl 1269.83071
Penrose, Roger
2012
The nature of space and time. With a new afterword by the authors. 13th printing of the 1996 original. Zbl 1187.83001
Hawking, Stephen; Penrose, Roger
2010
Mathematical physics on the 20th and 21st century. Zbl 1058.01014
Penrose, Roger
2000
Remarks on tiling: Details of a $$(1+\varepsilon+\varepsilon^ 2)$$-aperiodic set. Zbl 0884.52020
Penrose, Roger
1997
On the second law of thermodynamics. Zbl 0850.53019
Penrose, Roger
1994
On the origins of twistor theory. Zbl 0656.53005
Penrose, Roger
1987
A quadratic mapping with invariant cubic curve. Zbl 0453.14005
Penrose, Roger; Smith, Cedric A. B.
1981
Spinor classification of energy tensors. Zbl 0261.53012
Penrose, Roger
1972
Conformal treatment of infinity. Zbl 0166.24001
Penrose, Roger
1964
The big bang and its dark-matter content: whence, whither, and wherefore. Zbl 1411.83068
Penrose, Roger
2018
Palatial twistor theory and the twistor googly problem. Zbl 1355.81091
Penrose, Roger
2015
Some remarks on twistor theory. Zbl 0991.83035
Penrose, Roger
1999
Twistor geometry of light rays. Zbl 0867.32008
Penrose, Roger
1997
La cohomologie des figures impossibles. (On the cohomology of impossible figures). Zbl 0743.52002
Penrose, Roger
1991
Physical space-time and nonrealizable CR-structures. Zbl 0523.53058
Penrose, Roger
1983
The complex geometry of the natural world. Zbl 0425.53033
Penrose, Roger
1980
On the twistor descriptions of massless fields. Zbl 0433.53018
Penrose, Roger
1979
Singularity theorems. Zbl 1429.83047
Penrose, Roger
2019
Uncertainty in quantum mechanics: faith or fantasy? Zbl 1239.81017
Penrose, Roger
2011
On cosmological mass with positive $$\Lambda$$. Zbl 1230.83041
Penrose, Roger
2011
The large, the small and the human mind. With chapters by Abner Shimony, Nancy Cartwright, Stephen Hawking and Roland Omnès. Edited and with a foreword by Malcolm Longhair. Translated from the English by Roland Omnès. Zbl 1081.00507
Penrose, Roger
1999
An example of indeterminacy in the time-development of “already unified field theory”: A collision between electromagnetic plane waves. Zbl 0850.83018
Penrose, Roger
1993
$$\mathcal H$$-space and twistors. Zbl 0850.83021
Penrose, Roger
1992
M. C. Escher. Art and science. Proceedings of the International Congress on M. C. Escher, Rome, Italy, March 26-28, 1985. Zbl 0613.00008
Coxeter, H. S. M. (ed.); Emmer, M. (ed.); Penrose, R. (ed.); Teuber, M. L. (ed.)
1986
Mass in general relativity. Zbl 0615.53070
Penrose, Roger
1984
Pentaplexity. A class of non-periodic tilings of the plane. Zbl 0591.52020
Penrose, Roger
1984
Singularity theorems. Zbl 1429.83047
Penrose, Roger
2019
The big bang and its dark-matter content: whence, whither, and wherefore. Zbl 1411.83068
Penrose, Roger
2018
Fashion, faith, and fantasy in the new physics of the universe. Zbl 1346.00057
Penrose, Roger
2016
The emperor’s new mind. Concerning computers, minds, and the laws of physics. Revised edition. Zbl 1380.00018
Penrose, Roger
2016
Palatial twistor theory and the twistor googly problem. Zbl 1355.81091
Penrose, Roger
2015
On the gravitization of quantum mechanics. I: Quantum state reduction. Zbl 1311.81009
Penrose, Roger
2014
On the gravitization of quantum mechanics. II: Conformal cyclic cosmology. Zbl 1302.83041
Penrose, Roger
2014
Causality, quantum theory and cosmology. Zbl 1269.83071
Penrose, Roger
2012
Republication of: Conformal treatment of infinity. Zbl 1215.83019
Penrose, Roger
2011
Cycles of time. An extraordinary new view of the universe. Zbl 1231.00017
Penrose, Roger
2011
Uncertainty in quantum mechanics: faith or fantasy? Zbl 1239.81017
Penrose, Roger
2011
On cosmological mass with positive $$\Lambda$$. Zbl 1230.83041
Penrose, Roger
2011
Cycles of time. An extraordinary new view of the universe. Zbl 1222.00011
Penrose, Roger
2010
The nature of space and time. With a new afterword by the authors. 13th printing of the 1996 original. Zbl 1187.83001
Hawking, Stephen; Penrose, Roger
2010
The road to reality. A complete guide to the laws of the universe. Zbl 1188.00007
Penrose, Roger
2005
Gravitational collapse: The role of general relativity. Zbl 1001.83040
Penrose, R.
2002
Drawing with complex numbers. Zbl 1052.51505
Eastwood, Michael; Penrose, Roger
2000
Wavefunction collapse as a real gravitational effect. Zbl 1043.83018
Penrose, Roger
2000
Mathematical physics on the 20th and 21st century. Zbl 1058.01014
Penrose, Roger
2000
The central programme of twistor theory. Zbl 0994.81049
Penrose, Roger
1999
Twistor theory and the Einstein vacuum. Zbl 0956.83036
Penrose, Roger
1999
Some remarks on twistor theory. Zbl 0991.83035
Penrose, Roger
1999
The large, the small and the human mind. With chapters by Abner Shimony, Nancy Cartwright, Stephen Hawking and Roland Omnès. Edited and with a foreword by Malcolm Longhair. Translated from the English by Roland Omnès. Zbl 1081.00507
Penrose, Roger
1999
Spherically-symmetric solutions of the Schrödinger-Newton equations. Zbl 0936.83037
Moroz, Irene M.; Penrose, Roger; Tod, Paul
1998
Quantum computation, entanglement and state reduction. Zbl 1152.81659
Penrose, Roger
1998
The question of cosmic censorship. Zbl 0961.83031
Penrose, Roger
1998
The large, the small and the human mind. With chapters by Abner Shimony, Nancy Cartwright and Stephen Hawking. Edited and with a foreword by Malcolm Longair. Zbl 0927.00007
Penrose, Roger
1997
Remarks on tiling: Details of a $$(1+\varepsilon+\varepsilon^ 2)$$-aperiodic set. Zbl 0884.52020
Penrose, Roger
1997
Twistor geometry of light rays. Zbl 0867.32008
Penrose, Roger
1997
On gravity’s role in quantum state reduction. Zbl 0855.53046
Penrose, Roger
1996
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
1996
Shadows of the mind. A search for the missing science of consciousness. Zbl 0847.00001
Penrose, Roger
1995
On the second law of thermodynamics. Zbl 0850.53019
Penrose, Roger
1994
On Bell nonlocality without probabilities: More curious geometry. Zbl 0943.81501
Zimba, Jason; Penrose, Roger
1993
An example of indeterminacy in the time-development of “already unified field theory”: A collision between electromagnetic plane waves. Zbl 0850.83018
Penrose, Roger
1993
$$\mathcal H$$-space and twistors. Zbl 0850.83021
Penrose, Roger
1992
La cohomologie des figures impossibles. (On the cohomology of impossible figures). Zbl 0743.52002
Penrose, Roger
1991
The emperor’s new mind. Concerning computers, minds, and the laws of physics. Foreword by Martin Gardner. Zbl 0749.00009
Penrose, Roger
1990
The emperor’s new mind. Concerning computers, minds and the laws of physics. Zbl 0795.00009
Penrose, Roger
1990
Spinors and space-time. Two-spinor calculus and relativistic fields. (Spinory i prostranstvo-vremya. Dva-spinornoe ischislenie relyativitskie polya). Transl. from the English and with a foreword by D. V. Gal’tsov and V. I. Khlebnikov. Zbl 0663.53013
Penrose, Roger; Rindler, Wolfgang
1987
On the origins of twistor theory. Zbl 0656.53005
Penrose, Roger
1987
Spinors and space-time. Vol. 2: Spinor and twistor methods in space-time geometry. Zbl 0591.53002
Penrose, Roger; Rindler, Wolfgang
1986
Spinors and space-time. Volume 1: Two-spinor calculus and relativistic fields. (Reprinted with corrections). Zbl 0602.53001
Penrose, Roger; Rindler, Wolfgang
1986
Quantum concepts in space in time. (Conference held at Lincoln College, Oxford, March 1984). Zbl 0604.00014
Penrose, R. (ed.); Isham, C. J. (ed.)
1986
M. C. Escher. Art and science. Proceedings of the International Congress on M. C. Escher, Rome, Italy, March 26-28, 1985. Zbl 0613.00008
Coxeter, H. S. M. (ed.); Emmer, M. (ed.); Penrose, R. (ed.); Teuber, M. L. (ed.)
1986
Spinors and space-time. Volume 1: Two-spinor calculus and relativistic fields. Zbl 0538.53024
Penrose, Roger; Rindler, Wolfgang
1984
Mass in general relativity. Zbl 0615.53070
Penrose, Roger
1984
Pentaplexity. A class of non-periodic tilings of the plane. Zbl 0591.52020
Penrose, Roger
1984
Physical space-time and nonrealizable CR-structures. Zbl 0531.53058
Penrose, Roger
1983
Physical space-time and nonrealizable CR-structures. Zbl 0523.53058
Penrose, Roger
1983
Some unsolved problems in classical general relativity. Zbl 0481.53053
Penrose, Roger
1982
Cohomology and massless fields. Zbl 0465.58031
Eastwood, Michael G.; Penrose, Roger; Wells, R. O. jun.
1981
A quadratic mapping with invariant cubic curve. Zbl 0453.14005
Penrose, Roger; Smith, Cedric A. B.
1981
Null hypersurface initial data for classical fields of arbitrary spin and for general relativity. Zbl 0452.53014
Penrose, Roger
1980
On Schwarzschild causality - a problem for ”Lorentz covariant” general relativity. Zbl 0467.53038
Penrose, Roger
1980
The complex geometry of the natural world. Zbl 0425.53033
Penrose, Roger
1980
Pentaplexity. A class of non-periodic tilings of the plane. Zbl 0426.52005
Penrose, Roger
1979
Recent advances in global general relativity: A brief survey. Zbl 0438.53058
Penrose, Roger
1979
On the twistor descriptions of massless fields. Zbl 0433.53018
Penrose, Roger
1979
The metric and curvature properties of $$\mathcal H$$-space. Zbl 0391.53014
Hansen, R. O.; Newman, E. T.; Penrose, Roger; Tod, K. P.
1978
The Kähler structure of asymptotic twistor space. Zbl 0357.53013
Ko, M.; Newman, E. T.; Penrose, Roger
1977
Nonlinear gravitons and curved twistor theory. Zbl 0354.53025
Penrose, Roger
1976
Any space-time has a plane wave as a limit. Zbl 0349.53019
Penrose, Roger
1976
Relativistic symmetry groups. Zbl 0281.22021
Penrose, Roger
1974
A space-time calculus based on pairs of null directions. Zbl 0875.53014
Geroch, R.; Held, A.; Penrose, Roger
1973
Naked singularities. Zbl 0925.53023
Penrose, Roger
1973
Techniques of differential topology in relativity. Zbl 0321.53001
Penrose, Roger
1972
Ideal points in space-time. Zbl 0257.53059
Geroch, R.; Kronheimer, E. H.; Penrose, Roger
1972
The geometry of impulsive gravitational waves. Zbl 0274.53050
Penrose, Roger
1972
Spinor classification of energy tensors. Zbl 0261.53012
Penrose, Roger
1972
Applications of negative dimensional tensors. Zbl 0216.43502
Penrose, Roger
1971
The singularities of gravitational collapse and cosmology. Zbl 0954.83012
Hawking, S. W.; Penrose, R.
1970
On quadratic first integrals of the geodesic equations for type [22] spacetimes. Zbl 0197.26404
Walker, Martin; Penrose, Roger
1970
Structure of space-time. Zbl 0174.55901
Penrose, Roger
1968
Twistor algebra. Zbl 0163.22602
Penrose, Roger
1967
On the structure of causal spaces. Zbl 0148.46502
Kronheimer, E. H.; Penrose, Roger
1967
Gravitational collapse and space-time singularities. Zbl 0125.21206
Penrose, Roger
1965
Zero rest-mass fields including gravitation: asymptotic behaviour. Zbl 0129.41202
Penrose, Roger
1965
A remarkable property of plane waves in general relativity. Zbl 0125.21101
Penrose, Roger
1965
Conformal treatment of infinity. Zbl 0148.46403
Penrose, Roger
1964
Conformal treatment of infinity. Zbl 0166.24001
Penrose, Roger
1964
An approach to gravitational radiation by a method of spin coefficients. Zbl 0108.40905
Newman, E.; Penrose, Roger
1963
Imbedding of manifolds in Euclidean space. Zbl 0113.38101
Penrose, Roger; Whitehead, J. H. C.; Zeeman, E. C.
1961
A spinor approach to general relativity. Zbl 0091.21404
Penrose, Roger
1960
On best approximate solutions of linear matrix equations. Zbl 0070.12501
Penrose, R.
1956
A generalized inverse for matrices. Zbl 0065.24603
Penrose, R.
1955
A note on inverse semigroups. Zbl 0064.25101
Munn, W. D.; Penrose, R.
1955
all top 5

#### Cited by 4,349 Authors

 42 Tian, Yongge 40 Newman, Ezra Ted 25 Mason, Lionel J. 23 Penrose, Roger 20 Chen, Jianlong 20 Eastwood, Michael G. 20 Mosić, Dijana 19 Ludwig, Garry 19 Valiente Kroon, Juan Antonio 19 Zecca, Antonio 18 Dunajski, Maciej 18 Edgar, S. Brian 18 McLenaghan, Raymond G. 18 Tod, Kenneth Paul 17 Ellis, George Francis Rayner 17 Kozameh, Carlos N. 17 LeBrun, Claude R. 16 Đorđević, Dragan S. 15 Friedrich, Helmut 15 Gover, Ashwin Rod 15 Torres del Castillo, Gerardo Francisco 15 Van Schaftingen, Jean 15 Yang, Minbo 14 Galba, E. F. 14 Sánchez Caja, Miguel 14 Winicour, Jeffrey 13 Carminati, John 12 Frauendiener, Jörg 12 Jiang, Bo 12 Trautman, Andrzej 12 Zhu, Huihui 11 Ashtekar, Abhay 11 Baird, Paul 11 Cardoso, J. G. 11 Chruściel, Piotr Tadeusz 11 Galloway, Gregory J. 11 Nurowski, Paweł 11 Patrício, Pedro 11 Sergienko, Ivan Vasylyovych 11 Tod, Paul 11 Udwadia, Firdaus E. 10 Adamo, Tim 10 Ben-Israel, Adi 10 Esposito, Giampiero 10 Geroch, Robert 10 Gindikin, Simon Grigorevich 10 McIntosh, Colin B. G. 10 Minguzzi, Ettore 10 Nicolas, Jean-Philippe 10 Popov, Alexander D. 10 Skinner, David 10 Sparling, George A. J. 9 Alves, Claudianor Oliveira 9 Andersson, Lars Åke 9 El Naschie, Mohamed Saladin 9 Flores, José Luis 9 Gao, Fashun 9 Khuri, Marcus A. 9 Qadir, Asghar 9 Silva-Ortigoza, Gilberto 9 Tang, Xianhua 9 Wang, Wei 9 Xiong, Zhiping 8 Beem, John K. 8 Chen, Bang-Yen 8 Corach, Gustavo 8 Deineka, V. S. 8 Ehrlich, Paul Ewing 8 Griffiths, Jerry B. 8 Kauffman, Louis Hirsch 8 Królak, Andrzej 8 Plebański, Jerzy Franciszek 7 Chen, Sitong 7 Chudecki, Adam 7 Cvetković-Ilić, Dragana S. 7 Hogan, Peter A. 7 Horowitz, Gary T. 7 Kalaba, Robert E. 7 Ludvigsen, Malcolm 7 Plemmons, Robert James 7 Robinson, Donald W. 7 Senovilla, José M. M. 7 Szabados, László B. 7 Taghavi-Chabert, Arman 7 Tewarson, Reginald P. 7 Troessaert, Cedric 7 Uvarov, Dmitriy V. 7 Xia, Jiankang 6 Arias, M. Laura 6 Bäckdahl, Thomas 6 Barnich, Glenn 6 Boasso, Enrico 6 Burinskii, Alexander Ya. 6 Castagnino, Mario Alberto 6 Clarke, C. J. S. 6 Coley, Alan Albert 6 Czachor, Marek 6 Duggal, Krishan Lal 6 Galperin, Efim A. 6 García-Parrado Gómez-Lobo, Alfonso ...and 4,249 more Authors
all top 5

#### Cited in 491 Serials

 459 General Relativity and Gravitation 346 Journal of Mathematical Physics 216 Journal of High Energy Physics 154 Communications in Mathematical Physics 141 International Journal of Theoretical Physics 123 Linear Algebra and its Applications 120 Journal of Geometry and Physics 75 Nuclear Physics. B 68 Classical and Quantum Gravity 64 Foundations of Physics 63 Journal of Mathematical Analysis and Applications 60 International Journal of Modern Physics D 51 Applied Mathematics and Computation 47 Physics Letters. B 45 Modern Physics Letters A 37 International Journal of Geometric Methods in Modern Physics 35 International Journal of Modern Physics A 34 Living Reviews in Relativity 32 Theoretical and Mathematical Physics 32 Physical Review Letters 31 Letters in Mathematical Physics 31 Chaos, Solitons and Fractals 31 Annales Henri Poincaré 30 Computers & Mathematics with Applications 30 Differential Geometry and its Applications 26 Annals of Physics 26 Advances in Applied Clifford Algebras 26 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 24 Transactions of the American Mathematical Society 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Gravitation & Cosmology 19 Physics Letters. A 18 Proceedings of the American Mathematical Society 16 Astrophysics and Space Science 16 Reports on Mathematical Physics 16 Journal of Differential Equations 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Cybernetics and Systems Analysis 15 Advances in High Energy Physics 14 Linear and Multilinear Algebra 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 14 Annals of Global Analysis and Geometry 13 Journal of Functional Analysis 13 Annales de l’Institut Henri Poincaré. Physique Théorique 12 Journal of Statistical Physics 12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 12 Computing 12 Theoretical Computer Science 12 Calculus of Variations and Partial Differential Equations 12 Physical Review D. Series III 11 Journal of the Franklin Institute 11 Psychometrika 11 Bulletin of the American Mathematical Society. New Series 11 New Journal of Physics 11 Bulletin of the American Mathematical Society 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 10 Advances in Mathematics 10 Duke Mathematical Journal 10 Inventiones Mathematicae 10 Journal of Multivariate Analysis 10 Journal of Optimization Theory and Applications 10 Journal für die Reine und Angewandte Mathematik 10 Physica D 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Automatica 9 Russian Physics Journal 9 Entropy 9 Mediterranean Journal of Mathematics 8 Ukrainian Mathematical Journal 8 The Mathematical Intelligencer 8 Functional Analysis and its Applications 8 The Journal of Geometric Analysis 8 Journal of Mathematical Sciences (New York) 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Israel Journal of Mathematics 7 Annales de l’Institut Fourier 7 Journal of Algebra 7 Journal of Computational and Applied Mathematics 7 Synthese 7 Aequationes Mathematicae 7 Nonlinear Dynamics 7 Abstract and Applied Analysis 7 Communications on Pure and Applied Analysis 7 Journal of Applied Mathematics and Computing 6 Communications in Algebra 6 Journal of Computational Physics 6 Mathematics of Computation 6 Geometriae Dedicata 6 Journal of Geometry 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Topology and its Applications 6 Mathematical and Computer Modelling 6 Nuclear Physics, B, Proceedings Supplements 6 Quantum Information Processing 6 Journal of Algebra and its Applications 6 Advances in Mathematical Physics 5 Computer Methods in Applied Mechanics and Engineering 5 Discrete Mathematics ...and 391 more Serials
all top 5

#### Cited in 62 Fields

 1,816 Relativity and gravitational theory (83-XX) 1,260 Differential geometry (53-XX) 827 Quantum theory (81-XX) 403 Partial differential equations (35-XX) 366 Linear and multilinear algebra; matrix theory (15-XX) 169 Global analysis, analysis on manifolds (58-XX) 169 Numerical analysis (65-XX) 124 Several complex variables and analytic spaces (32-XX) 112 Mechanics of particles and systems (70-XX) 95 Statistics (62-XX) 88 Dynamical systems and ergodic theory (37-XX) 85 Operator theory (47-XX) 83 Computer science (68-XX) 79 Algebraic geometry (14-XX) 69 Statistical mechanics, structure of matter (82-XX) 68 Astronomy and astrophysics (85-XX) 66 Systems theory; control (93-XX) 65 Topological groups, Lie groups (22-XX) 65 Manifolds and cell complexes (57-XX) 61 Associative rings and algebras (16-XX) 61 Functional analysis (46-XX) 59 Combinatorics (05-XX) 58 Convex and discrete geometry (52-XX) 55 Fluid mechanics (76-XX) 55 Operations research, mathematical programming (90-XX) 53 Information and communication theory, circuits (94-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 51 Mathematical logic and foundations (03-XX) 50 Nonassociative rings and algebras (17-XX) 49 Classical thermodynamics, heat transfer (80-XX) 47 Optics, electromagnetic theory (78-XX) 46 Probability theory and stochastic processes (60-XX) 44 General and overarching topics; collections (00-XX) 44 History and biography (01-XX) 43 Ordinary differential equations (34-XX) 42 Biology and other natural sciences (92-XX) 38 Category theory; homological algebra (18-XX) 34 Group theory and generalizations (20-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Number theory (11-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 28 General topology (54-XX) 24 Functions of a complex variable (30-XX) 24 Mechanics of deformable solids (74-XX) 23 Geometry (51-XX) 20 Algebraic topology (55-XX) 16 Measure and integration (28-XX) 11 Special functions (33-XX) 10 Difference and functional equations (39-XX) 10 Integral equations (45-XX) 8 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 7 Integral transforms, operational calculus (44-XX) 5 Potential theory (31-XX) 5 Geophysics (86-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 3 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)

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