Edit Profile (opens in new tab) Simons, James Co-Author Distance Author ID: simons.james Published as: Simons, James; Simons, J. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 21 Publications since 1962, including 3 Additional arXiv Preprints 1 Further Contribution Biographic References: 1 Publication Co-Authors: 13 Co-Authors with 12 Joint Publications 441 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Sullivan, Dennis Parnell 3 Cheeger, Jeff 2 Bourguignon, Jean-Pierre 2 Chern, Shiing-Shen 2 Ebin, David G. 2 Lawson, Herbert Blaine jun. 1 Besson, Gérard 1 Blum, Lenore 1 Bryant, Robert L. 1 Burns, Daniel M. jun. 1 Connes, Alain 1 Donnelly, Harold 1 Griffiths, Phillip Augustus 1 Gromov, Mikhael Leonidovich 1 Grove, Karsten 1 Guillemin, Victor W. 1 Kazdan, Jerry L. 1 Lafontaine, Jacques 1 LeBrun, Claude R. 1 Michelsohn, Marie-Louise 1 Palais, Richard S. 1 Pansu, Pierre 1 Rossi, Hugo 1 Singer, Elliot 1 Singer, Isadore Manuel 1 Singer, Natasha 1 Stanton, Nancy K. 1 Sternberg, Shlomo all top 5 Serials 4 Annals of Mathematics. Second Series 3 Proceedings of the National Academy of Sciences of the United States of America 2 Notices of the American Mathematical Society 1 International Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology all top 5 Fields 10 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 \(K\)-theory (19-XX) 1 Algebraic geometry (14-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 1,486 times in 1,333 Documents Cited by ▼ Year ▼ Minimal varieties in Riemannian manifolds. Zbl 0181.49702 Simons, J. 739 1968 Characteristic forms and geometric invariants. Zbl 0283.53036 Chern, Shiing-shen; Simons, James 301 1974 Differential characters and geometric invariants. Zbl 0621.57010 Cheeger, Jeff; Simons, James 110 1985 On stable currents and their application to global problems in real and complex geometry. Zbl 0283.53049 Lawson, H. Blaine jun.; Simons, James 95 1973 On the transitivity of holonomy systems. Zbl 0106.15201 Simons, James 68 1962 Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401 Chern, S. S.; Simons, J. 58 1971 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020 Simons, James; Sullivan, Dennis 36 2008 Stability and gap phenomena for Yang-Mills fields. Zbl 0408.53023 Bourguignon, Jean-Pierre; Lawson, H. Blaine; Simons, James 33 1979 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009 Simons, James; Sullivan, Dennis 29 2010 Minimal cones, Plateau’s problem, and the Bernstein conjecture. Zbl 0168.09903 Simons, J. 6 1967 Structured bundles define differential K-theory. Zbl 1204.57021 Simons, James; Sullivan, Dennis 6 2008 Differential characters for \(K\)-theory. Zbl 1256.19007 Simons, James; Sullivan, Dennis 1 2012 A note on minimal varieties. Zbl 0153.23201 Simons, J. 1 1967 Minimal varieties in Riemannian manifolds. Zbl 0241.53034 Simons, James 1 1972 Minimal varieties in riemannian manifolds. Zbl 0274.53057 Simons, James 1 1973 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 1 2017 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 1 2017 Differential characters for \(K\)-theory. Zbl 1256.19007 Simons, James; Sullivan, Dennis 1 2012 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009 Simons, James; Sullivan, Dennis 29 2010 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020 Simons, James; Sullivan, Dennis 36 2008 Structured bundles define differential K-theory. Zbl 1204.57021 Simons, James; Sullivan, Dennis 6 2008 Differential characters and geometric invariants. Zbl 0621.57010 Cheeger, Jeff; Simons, James 110 1985 Stability and gap phenomena for Yang-Mills fields. Zbl 0408.53023 Bourguignon, Jean-Pierre; Lawson, H. Blaine; Simons, James 33 1979 Characteristic forms and geometric invariants. Zbl 0283.53036 Chern, Shiing-shen; Simons, James 301 1974 On stable currents and their application to global problems in real and complex geometry. Zbl 0283.53049 Lawson, H. Blaine jun.; Simons, James 95 1973 Minimal varieties in riemannian manifolds. Zbl 0274.53057 Simons, James 1 1973 Minimal varieties in Riemannian manifolds. Zbl 0241.53034 Simons, James 1 1972 Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401 Chern, S. S.; Simons, J. 58 1971 Minimal varieties in Riemannian manifolds. Zbl 0181.49702 Simons, J. 739 1968 Minimal cones, Plateau’s problem, and the Bernstein conjecture. Zbl 0168.09903 Simons, J. 6 1967 A note on minimal varieties. Zbl 0153.23201 Simons, J. 1 1967 On the transitivity of holonomy systems. Zbl 0106.15201 Simons, James 68 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,348 Authors 31 Xu, Hongwei 25 Morozov, Alexei Yurievich 18 Mironov, Andrei D. 17 de Lima, Henrique F. 14 Li, Haizhong 12 Morozov, Andreĭ Alekseevich 12 Xin, Yuanlong 11 Bunke, Ulrich 11 Sati, Hisham 10 Dos Santos, Fábio Reis 10 Olmos, Carlos Enrique 10 Xia, Changyu 9 Urbano, Francisco 9 Wei, Juncheng 8 Cheng, Qingming 8 do Carmo, Manfredo Perdigão 8 Gu, Juan-Ru 8 Lawson, Herbert Blaine jun. 8 Wei, Shihshu Walter 8 Xu, Zhiyuan 8 Zhao, En-Tao 7 Alías, Luis J. 7 Freed, Daniel Stuart 7 Ho, Man-Ho 7 Hsiang, Wu-Yi 7 Kon, Masahiro 7 Lei, Li 7 Meroño Bayo, Miguel Angel 7 Perdomo, Oscar Mario 6 Barros, Manuel 6 Chaves Brasil Junior, Aldir 6 Del Pino, Manuel A. 6 Ding, Qi 6 Fetcu, Dorel 6 Grady, Daniel 6 Ohnita, Yoshihiro 6 Serra Montolí, Joaquim 6 Sun, Linlin 6 Vlachos, Theodoros 6 Wang, Qiaoling 6 Yang, Ling 5 Ali, Akram 5 Barbosa, João Lucas Marques 5 Barros, Abdênago A. 5 Batista, Márcio 5 Brendle, Simon 5 Caminha, Antonio 5 Cunha, Antonio Wilson 5 de Lima, Eudes Leite 5 Duan, Yishi 5 Elmrabty, Adnane 5 Garay, Oscar Jesus 5 Ham, Ji-Young 5 Kamber, Franz W. 5 Lee, Joongul 5 Lott, John 5 Luo, Yong 5 Monnier, Samuel 5 Oniciuc, Cezar 5 Pyo, Juncheol 5 Ripoll, Jaime Bruck 5 Schreiber, Urs 5 Seo, Keomkyo 5 Simon, Leon Melvin 5 Wang, Kelei 5 Yang, Yisong 5 Yano, Kentaro 5 Zhou, Detang 4 Arezzo, Claudio 4 Bérard, Pierre H. 4 Bismut, Jean-Michel 4 Braga Brito, Fabiano Gustavo 4 Cabré, Xavier 4 Cao, Shunjuan 4 de Almeida Cavalcante, Marcos Petrúcio 4 Cheng, Xu 4 De Lellis, Camillo 4 Deshmukh, Sharief 4 Dupont, Johan L. 4 El Soufi, Ahmad 4 Etesi, Gábor 4 Ge, Jianquan 4 Han, Xiaosen 4 Harvey, Reese 4 Kowalczyk, Michał 4 Leng, Yan 4 Matveev, Vladimir S. 4 Mickelsson, Jouko 4 Morgan, Frank 4 Murray, Michael K. 4 Neumann, Walter David 4 Ortiz, Irene 4 Park, Byungdo 4 Poluboyarova, Natal’ya Mikhaĭlovna 4 Ramadevi, Pichai 4 Rubio, Rafael María 4 Ṣahin, Fulya 4 Salavessa, Isabel M. C. 4 Savas-Halilaj, Andreas 4 Schick, Thomas ...and 1,248 more Authors all top 5 Cited in 249 Serials 56 Journal of Geometry and Physics 55 Proceedings of the American Mathematical Society 50 Communications in Mathematical Physics 38 Journal of High Energy Physics 37 The Journal of Geometric Analysis 35 Mathematische Zeitschrift 34 Calculus of Variations and Partial Differential Equations 32 Advances in Mathematics 32 Transactions of the American Mathematical Society 29 Differential Geometry and its Applications 27 Inventiones Mathematicae 27 Tôhoku Mathematical Journal. Second Series 25 Mathematische Annalen 23 Manuscripta Mathematica 20 Geometriae Dedicata 18 Journal of Mathematical Physics 18 Kodai Mathematical Journal 16 Journal of Mathematical Analysis and Applications 16 Journal of Functional Analysis 16 Annals of Global Analysis and Geometry 15 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Reviews in Mathematical Physics 12 Archiv der Mathematik 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 International Journal of Mathematics 11 Science China. Mathematics 10 Letters in Mathematical Physics 10 Acta Mathematica 10 Annales de l’Institut Fourier 10 Duke Mathematical Journal 10 Monatshefte für Mathematik 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Journal für die Reine und Angewandte Mathematik 9 Results in Mathematics 9 Bulletin of the American Mathematical Society. New Series 9 Geometry & Topology 9 Bulletin of the American Mathematical Society 8 Theoretical and Mathematical Physics 8 Glasgow Mathematical Journal 8 Journal of Geometry 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 International Journal of Geometric Methods in Modern Physics 7 Modern Physics Letters A 7 Nuclear Physics. B 7 Geometric and Functional Analysis. GAFA 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 Mediterranean Journal of Mathematics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Boletim da Sociedade Brasileira de Matemática 6 Compositio Mathematica 6 Pacific Journal of Mathematics 6 Journal of the American Mathematical Society 6 Journal of the European Mathematical Society (JEMS) 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 Bulletin de la Société Mathématique de France 5 Czechoslovak Mathematical Journal 5 Journal of Differential Equations 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Chinese Annals of Mathematics. Series B 5 Communications in Partial Differential Equations 5 Journal of Mathematical Sciences (New York) 5 Communications in Contemporary Mathematics 5 Journal of Noncommutative Geometry 5 Journal of Homotopy and Related Structures 4 Archive for Rational Mechanics and Analysis 4 Bulletin of the Australian Mathematical Society 4 Physics Letters. B 4 Journal of Differential Geometry 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Siberian Mathematical Journal 4 Topology and its Applications 4 Revista Matemática Iberoamericana 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales Mathématiques Blaise Pascal 4 Frontiers of Mathematics in China 4 Analysis & PDE 3 Communications on Pure and Applied Mathematics 3 General Relativity and Gravitation 3 International Journal of Theoretical Physics 3 Fortschritte der Physik 3 Bulletin of the London Mathematical Society 3 Illinois Journal of Mathematics 3 Indiana University Mathematics Journal 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Osaka Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of Knot Theory and its Ramifications ...and 149 more Serials all top 5 Cited in 52 Fields 917 Differential geometry (53-XX) 353 Global analysis, analysis on manifolds (58-XX) 205 Quantum theory (81-XX) 192 Manifolds and cell complexes (57-XX) 141 Partial differential equations (35-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 73 Algebraic topology (55-XX) 71 Relativity and gravitational theory (83-XX) 49 Algebraic geometry (14-XX) 45 \(K\)-theory (19-XX) 42 Several complex variables and analytic spaces (32-XX) 23 Mechanics of particles and systems (70-XX) 22 Topological groups, Lie groups (22-XX) 21 Nonassociative rings and algebras (17-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 10 Measure and integration (28-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Geometry (51-XX) 9 Fluid mechanics (76-XX) 8 History and biography (01-XX) 8 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Category theory; homological algebra (18-XX) 6 Real functions (26-XX) 6 Potential theory (31-XX) 6 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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