Simons, James

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 Author ID: simons.james Published as: Simons, James; Simons, J. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 18 Publications since 1962 Biographic References: 1 Publication Co-Authors: 13 Co-Authors with 11 Joint Publications 427 Co-Co-Authors
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Co-Authors

 7 single-authored 6 Sullivan, Dennis Parnell 2 Bourguignon, Jean-Pierre 2 Cheeger, Jeff 2 Chern, Shiing-Shen 2 Lawson, Herbert Blaine jun. 1 Besson, Gérard 1 Ebin, David G. 1 Gromov, Mikhael Leonidovich 1 Grove, Karsten 1 Kazdan, Jerry L. 1 Lafontaine, Jacques 1 LeBrun, Claude R. 1 Michelsohn, Marie-Louise 1 Pansu, Pierre
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Serials

 4 Annals of Mathematics. Second Series 3 Proceedings of the National Academy of Sciences of the United States of America 1 International Journal of Mathematics 1 Notices of the American Mathematical Society 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology
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Fields

 10 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Manifolds and cell complexes (57-XX) 3 $$K$$-theory (19-XX) 2 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

15 Publications have been cited 1,253 times in 1,140 Documents Cited by Year
Minimal varieties in Riemannian manifolds. Zbl 0181.49702
Simons, J.
1968
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
1974
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
1985
On stable currents and their application to global problems in real and complex geometry. Zbl 0283.53049
Lawson, H. Blaine jun.; Simons, James
1973
On the transitivity of holonomy systems. Zbl 0106.15201
Simons, James
1962
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
1971
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
2008
Stability and gap phenomena for Yang-Mills fields. Zbl 0408.53023
Bourguignon, Jean-Pierre; Lawson, H. Blaine; Simons, James
1979
Structured vector bundles define differential $$K$$-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
2010
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
2008
Minimal cones, Plateau’s problem, and the Bernstein conjecture. Zbl 0168.09903
Simons, J.
1967
Differential characters for $$K$$-theory. Zbl 1256.19007
Simons, James; Sullivan, Dennis
2012
Marcel Berger remembered. Zbl 1377.01033
Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
2017
Minimal varieties in Riemannian manifolds. Zbl 0241.53034
Simons, James
1972
A note on minimal varieties. Zbl 0153.23201
Simons, J.
1967
Marcel Berger remembered. Zbl 1377.01033
Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
2017
Differential characters for $$K$$-theory. Zbl 1256.19007
Simons, James; Sullivan, Dennis
2012
Structured vector bundles define differential $$K$$-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
2010
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
2008
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
2008
Differential characters and geometric invariants. Zbl 0621.57010
Cheeger, Jeff; Simons, James
1985
Stability and gap phenomena for Yang-Mills fields. Zbl 0408.53023
Bourguignon, Jean-Pierre; Lawson, H. Blaine; Simons, James
1979
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
1974
On stable currents and their application to global problems in real and complex geometry. Zbl 0283.53049
Lawson, H. Blaine jun.; Simons, James
1973
Minimal varieties in Riemannian manifolds. Zbl 0241.53034
Simons, James
1972
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
1971
Minimal varieties in Riemannian manifolds. Zbl 0181.49702
Simons, J.
1968
Minimal cones, Plateau’s problem, and the Bernstein conjecture. Zbl 0168.09903
Simons, J.
1967
A note on minimal varieties. Zbl 0153.23201
Simons, J.
1967
On the transitivity of holonomy systems. Zbl 0106.15201
Simons, James
1962
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Cited by 1,178 Authors

 26 Xu, Hongwei 21 Morozov, Alexei Yurievich 16 Mironov, Andrei D. 15 de Lima, Henrique F. 13 Li, Haizhong 12 Xin, Yuanlong 10 Bunke, Ulrich 10 Olmos, Carlos Enrique 10 Xia, Changyu 9 Sati, Hisham 9 Wei, Juncheng 8 do Carmo, Manfredo Perdigão 7 Alías, Luis J. 7 Cheng, Qingming 7 Dos Santos, Fábio Reis 7 Gu, Juan-Ru 7 Ho, Man-Ho 7 Hsiang, Wu-Yi 7 Kon, Masahiro 7 Lawson, Herbert Blaine jun. 7 Meroño Bayo, Miguel Angel 7 Wei, Shihshu Walter 7 Xu, Zhiyuan 6 Barros, Manuel 6 Chaves Brasil Junior, Aldir 6 Del Pino, Manuel A. 6 Freed, Daniel Stuart 6 Grady, Daniel 6 Morozov, Andreĭ Alekseevich 6 Ohnita, Yoshihiro 6 Perdomo, Oscar Mario 6 Wang, Qiaoling 6 Yang, Ling 5 Ali, Akram 5 Barbosa, João Lucas Marques 5 Brendle, Simon 5 Caminha, Antonio 5 Ding, Qi 5 Duan, Yishi 5 Elmrabty, Adnane 5 Fetcu, Dorel 5 Garay, Oscar Jesus 5 Kamber, Franz W. 5 Lott, John 5 Seo, Keomkyo 5 Simon, Leon Melvin 5 Vlachos, Theodoros 5 Wang, Kelei 5 Yang, Yisong 5 Yano, Kentaro 4 Anokhina, A. S. 4 Arezzo, Claudio 4 Bérard, Pierre H. 4 Cabré, Xavier 4 Cheng, Xu 4 Deshmukh, Sharief 4 Dupont, Johan L. 4 El Soufi, Ahmad 4 Ham, Ji-Young 4 Han, Xiaosen 4 Harvey, Reese 4 Hou, Zhonghua 4 Kowalczyk, Michał 4 Lee, Joongul 4 Lei, Li 4 Leng, Yan 4 Matveev, Vladimir S. 4 Mickelsson, Jouko 4 Monnier, Samuel 4 Morgan, Frank 4 Murray, Michael K. 4 Neumann, Walter David 4 Oniciuc, Cezar 4 Ortiz, Irene 4 Poluboyarova, Natal’ya Mikhaĭlovna 4 Ramadevi, Pichai 4 Savas-Halilaj, Andreas 4 Shen, Yibing 4 Singh, Vivek Kumar 4 Sun, Linlin 4 Szabo, Richard J. 4 Taubes, Clifford Henry 4 Wickramasekera, Neshan 4 Wu, Hung-Hsi 4 Zhao, En-Tao 4 Zhou, Detang 3 Alkhaldi, Ali H. 3 Aquino, Cicero Pedro 3 Arroyo, Josu J. 3 Atiyah, Michael Francis 3 Bakas, Ioannis 3 Barros, Abdênago A. 3 Becker, Christian 3 Berndt, Jürgen 3 Besson, Gérard 3 Bismut, Jean-Michel 3 Boi, Luciano 3 Braga Brito, Fabiano Gustavo 3 Burns, Daniel M. jun. 3 Cao, Shunjuan ...and 1,078 more Authors
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Cited in 216 Serials

 54 Journal of Geometry and Physics 51 Proceedings of the American Mathematical Society 48 Communications in Mathematical Physics 33 Mathematische Zeitschrift 31 Calculus of Variations and Partial Differential Equations 29 Transactions of the American Mathematical Society 28 Advances in Mathematics 28 The Journal of Geometric Analysis 27 Tohoku Mathematical Journal. Second Series 26 Journal of High Energy Physics 25 Inventiones Mathematicae 25 Mathematische Annalen 24 Differential Geometry and its Applications 22 Manuscripta Mathematica 17 Geometriae Dedicata 16 Kodai Mathematical Journal 15 Journal of Mathematical Physics 14 Journal of Mathematical Analysis and Applications 14 Journal of Functional Analysis 14 Annals of Global Analysis and Geometry 12 Annali di Matematica Pura ed Applicata. Serie Quarta 11 International Journal of Mathematics 10 Acta Mathematica 10 Annales de l’Institut Fourier 10 Archiv der Mathematik 10 Monatshefte für Mathematik 9 Letters in Mathematical Physics 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Duke Mathematical Journal 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Bulletin of the American Mathematical Society. New Series 9 Bulletin of the American Mathematical Society 9 Science China. Mathematics 8 Theoretical and Mathematical Physics 8 Reviews in Mathematical Physics 8 Glasgow Mathematical Journal 8 Journal of Geometry 8 Results in Mathematics 8 Geometry & Topology 7 Modern Physics Letters A 7 Applied Mathematics. Series B (English Edition) 7 Acta Mathematica Sinica. English Series 7 Annales Henri Poincaré 7 Algebraic & Geometric Topology 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 International Journal of Geometric Methods in Modern Physics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Boletim da Sociedade Brasileira de Matemática 6 Compositio Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Kodai Mathematical Seminar Reports 5 International Journal of Modern Physics A 5 Classical and Quantum Gravity 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Differential Equations 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Journal of the American Mathematical Society 5 Geometric and Functional Analysis. GAFA 5 Journal of the European Mathematical Society (JEMS) 5 Mediterranean Journal of Mathematics 5 Journal of Noncommutative Geometry 5 Journal of Homotopy and Related Structures 4 Bulletin of the Australian Mathematical Society 4 Siberian Mathematical Journal 4 Chinese Annals of Mathematics. Series B 4 Revista Matemática Iberoamericana 4 Communications in Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Mathematical Sciences (New York) 4 Annales Mathématiques Blaise Pascal 4 Communications in Contemporary Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Frontiers of Mathematics in China 3 Archive for Rational Mechanics and Analysis 3 General Relativity and Gravitation 3 International Journal of Theoretical Physics 3 Nuclear Physics. B 3 Fortschritte der Physik 3 Bulletin de la Société Mathématique de France 3 Czechoslovak Mathematical Journal 3 Illinois Journal of Mathematics 3 Indiana University Mathematics Journal 3 Journal of Differential Geometry 3 Journal of the Mathematical Society of Japan 3 Osaka Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Topology and its Applications 3 Vietnam Journal of Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Annals of Mathematics. Second Series 3 DGDS. Differential Geometry – Dynamical Systems 3 Proceedings of the Steklov Institute of Mathematics 3 São Paulo Journal of Mathematical Sciences 2 International Journal of Modern Physics B 2 Communications on Pure and Applied Mathematics ...and 116 more Serials
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Cited in 49 Fields

 791 Differential geometry (53-XX) 307 Global analysis, analysis on manifolds (58-XX) 172 Quantum theory (81-XX) 168 Manifolds and cell complexes (57-XX) 107 Calculus of variations and optimal control; optimization (49-XX) 106 Partial differential equations (35-XX) 63 Algebraic topology (55-XX) 58 Relativity and gravitational theory (83-XX) 41 $$K$$-theory (19-XX) 37 Several complex variables and analytic spaces (32-XX) 33 Algebraic geometry (14-XX) 19 Nonassociative rings and algebras (17-XX) 18 Topological groups, Lie groups (22-XX) 17 Mechanics of particles and systems (70-XX) 11 Functions of a complex variable (30-XX) 10 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Group theory and generalizations (20-XX) 8 Functional analysis (46-XX) 8 Geometry (51-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 History and biography (01-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 6 Category theory; homological algebra (18-XX) 6 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 5 Number theory (11-XX) 5 Potential theory (31-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 2 Combinatorics (05-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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