Edit Profile Palais, Richard S. Compute Distance To: Compute Author ID: palais.richard-s Published as: Palais, R.; Palais, R. S.; Palais, Richard; Palais, Richard S. External Links: MGP · Wikidata · GND Documents Indexed: 61 Publications since 1954, including 11 Books Biographic References: 2 Publications all top 5 Co-Authors 40 single-authored 9 Terng, Chuu-Lian 4 Palais, Bob 3 Stewart, Thomas E. 2 Heintze, Ernst 2 Hsiang, Wu-Yi 2 Thorbergsson, Gudlaugur 1 Adler, Roy Lee 1 Ambrose, Warren Arthur 1 Gleason, Andrew Mattei 1 Richardson, Roger Wolcott 1 Rodi, Stephen 1 Singer, Isadore M. 1 Smale, Steve all top 5 Serials 9 Proceedings of the American Mathematical Society 5 American Journal of Mathematics 5 Topology 4 Journal of Fixed Point Theory and Applications 3 Bulletin of the American Mathematical Society 2 American Mathematical Monthly 2 Journal of Differential Geometry 2 Memoirs of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 1 Communications in Mathematical Physics 1 Commentarii Mathematici Helvetici 1 Journal für die Reine und Angewandte Mathematik 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Journal of Mathematics and Mechanics 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Student Mathematical Library 1 Culture and History of Mathematics 1 Anais da Academia Brasileira de Ciências all top 5 Fields 12 Global analysis, analysis on manifolds (58-XX) 10 Differential geometry (53-XX) 10 Manifolds and cell complexes (57-XX) 5 Algebraic topology (55-XX) 4 General topology (54-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 57 Publications have been cited 2,841 times in 2,425 Documents Cited by ▼ Year ▼ The principle of symmetric criticality. Zbl 0417.58007Palais, Richard S. 363 1979 On the existence of slices for actions of non-compact Lie groups. Zbl 0103.01802Palais, Richard S. 229 1961 Foundations of global non-linear analysis. Zbl 0164.11102Palais, R. S. 208 1968 Seminar on the Atiyah-Singer index theorem. With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay. Zbl 0137.17002Palais, R. S. 204 1965 A global formulation of the Lie theory of transformation groups. Zbl 0178.26502Palais, R. S. 204 1957 Morse theory on Hilbert manifolds. Zbl 0122.10702Palais, R. S. 180 1963 Lusternik-Schnirelman theory on Banach manifolds. Zbl 0143.35203Palais, R. S. 179 1966 Homotopy theory of infinite dimensional manifolds. Zbl 0138.18302Palais, R. S. 168 1966 Critical point theory and submanifold geometry. Zbl 0658.49001Palais, Richard S.; Terng, Chuu-lian 150 1988 The classification of \(G\)-spaces. Zbl 0119.38403Palais, R. S. 121 1960 A generalized Morse theory. Zbl 0119.09201Palais, R. S.; Smale, S. 99 1964 Critical point theory and the minimax principle. Zbl 0212.28902Palais, R. S. 72 1970 Natural operations on differential forms. Zbl 0092.30802Palais, Richard S. 58 1959 A general theory of canonical forms. Zbl 0652.57023Palais, Richard S.; Terng, Chuu-Lian 54 1987 Local triviality of the restriction map for embeddings. Zbl 0207.22501Palais, R. S. 37 1960 Seminar on the Atiyah - Singer index theorem. Zbl 0202.23103Palais, R. S. 36 1970 On the homotopy type of certain groups of operators. Zbl 0161.34501Palais, R. S. 35 1965 Natural bundles have finite order. Zbl 0359.58004Palais, Richard S.; Terng, Chuu-Lian 33 1977 Hyperpolar actions on symmetric spaces. Zbl 0871.57035Heintze, Ernst; Palais, Richard S.; Terng, Chuu-lian; Thorbergsson, Gudlaugur 32 1995 On a class of transformation groups. Zbl 0084.03203Gleason, Andrew M.; Palais, Richard S. 32 1957 Equivalence of nearby differentiable actions of a compact group. Zbl 0102.38101Palais, Richard S. 29 1961 The symmetries of solitons. Zbl 0886.58040Palais, Richard S. 26 1997 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 26 1960 Imbedding of compact, differentiable transformation groups in orthogonal representations. Zbl 0086.02603Palais, Richard S. 22 1957 Extending diffeomorphisms. Zbl 0095.16502Palais, Richard S. 21 1960 The Morse lemma for Banach spaces. Zbl 0191.21704Palais, Richard S. 17 1969 The topology of isoparametric submanifolds. Zbl 0618.57018Hsiang, Wuyi; Palais, Richard S.; Terng, Chunlian 16 1988 Hyperpolar actions and \(k\)-flat homogeneous spaces. Zbl 0804.53074Heintze, E.; Palais, R.; Terng, C.-L.; Thorbergsson, G. 14 1994 Homeomorphic conjugacy of automorphisms on the torus. Zbl 0229.22013Adler, R. L.; Palais, R. 14 1966 The cohomology of Lie rings. Zbl 0126.03404Palais, R. 12 1961 Torus bundles over a torus. Zbl 0102.38702Palais, R. S.; Stewart, T. E. 12 1961 On the Differentiability of isometries. Zbl 0084.37405Palais, Richard S. 11 1957 A simple proof of the Banach contraction principle. Zbl 1140.55301Palais, Richard S. 10 2007 Real algebraic differential topology. Part I. Zbl 0477.57002Palais, Richard S. 10 1981 Some analogues of Hartogs’ theorem in an algebraic setting. Zbl 0449.14002Palais, Richard S. 10 1978 Equivariant, real algebraic differential topology. Part I: Smoothness categories and Nash manifolds. Zbl 0281.57015Palais, Richard S. 10 1972 \(C^1\) actions of compact Lie groups on compact manifolds are \(C^1\)-equivalent to \(C^\infty\) actions. Zbl 0203.26203Palais, Richard S. 9 1970 When proper maps are closed. Zbl 0189.53202Palais, Richard S. 9 1970 Euler’s fixed point theorem: The axis of a rotation. Zbl 1140.55001Palais, Bob; Palais, Richard 8 2007 The cohomology of differentiable transformation groups. Zbl 0104.17703Palais, Richard S.; Stewart, Thomas E. 8 1961 Deformations of compact differentiable transformation groups. Zbl 0106.16401Palais, Richard S.; Stewart, Thomas E. 8 1960 Geometry and topology of isoparametric submanifolds in Euclidean spaces. Zbl 0573.53033Hsiang, W. Y.; Palais, R. S.; Terng, C. L. 6 1985 The classification of real division algebras. Zbl 0159.04403Palais, R. S. 6 1968 Applications of the symmetric criticality principle in mathematical physics and differential geometry. Zbl 0792.53079Palais, Richard S. 5 1984 A definition of the exterior derivative in terms of Lie derivatives. Zbl 0057.13301Palais, Richard S. 5 1954 Manifolds of sections of fiber bundles and the calculus of variations. Zbl 0235.58008Palais, Richard S. 4 1970 A disorienting look at Euler’s theorem on the axis of a rotation. Zbl 1229.15028Palais, Bob; Palais, Richard; Rodi, Stephen 3 2009 Banach manifolds of fiber bundle sections. Zbl 0326.58008Palais, Richard S. 3 1971 Differential equations, mechanics, and computation. Zbl 1194.34001Palais, Richard S.; Palais, Robert A. 2 2009 Reduction of variables for minimal submanifolds. Zbl 0627.53050Palais, Richard S.; Terng, Chuu-Lian 2 1986 Uncountably many inequivalent analytic actions of a compact group on \(R^ n\). Zbl 0121.17904Palais, R. S.; Richardson, R. W. jun. 2 1963 Logarithmically exact differential forms. Zbl 0196.38903Palais, R. S. 2 1961 The initial value problem for weakly nonlinear PDE. Zbl 1320.35017Palais, Richard S. 1 2014 Chasles’ fixed point theorem for Euclidean motions. Zbl 1266.54093Palais, Bob; Palais, Richard 1 2012 In appreciation. Delivered after the Chinese banquet at the Lotus Flower. Zbl 0927.01025Palais, Richard 1 1993 A topological Gauss-Bonnet theorem. Zbl 0436.57006Palais, Richard S. 1 1978 A covering homotopy theorem and the classification of \(G\)-spaces. Zbl 0105.16901Palais, Richard S. 1 1959 The initial value problem for weakly nonlinear PDE. Zbl 1320.35017Palais, Richard S. 1 2014 Chasles’ fixed point theorem for Euclidean motions. Zbl 1266.54093Palais, Bob; Palais, Richard 1 2012 A disorienting look at Euler’s theorem on the axis of a rotation. Zbl 1229.15028Palais, Bob; Palais, Richard; Rodi, Stephen 3 2009 Differential equations, mechanics, and computation. Zbl 1194.34001Palais, Richard S.; Palais, Robert A. 2 2009 A simple proof of the Banach contraction principle. Zbl 1140.55301Palais, Richard S. 10 2007 Euler’s fixed point theorem: The axis of a rotation. Zbl 1140.55001Palais, Bob; Palais, Richard 8 2007 The symmetries of solitons. Zbl 0886.58040Palais, Richard S. 26 1997 Hyperpolar actions on symmetric spaces. Zbl 0871.57035Heintze, Ernst; Palais, Richard S.; Terng, Chuu-lian; Thorbergsson, Gudlaugur 32 1995 Hyperpolar actions and \(k\)-flat homogeneous spaces. Zbl 0804.53074Heintze, E.; Palais, R.; Terng, C.-L.; Thorbergsson, G. 14 1994 In appreciation. Delivered after the Chinese banquet at the Lotus Flower. Zbl 0927.01025Palais, Richard 1 1993 Critical point theory and submanifold geometry. Zbl 0658.49001Palais, Richard S.; Terng, Chuu-lian 150 1988 The topology of isoparametric submanifolds. Zbl 0618.57018Hsiang, Wuyi; Palais, Richard S.; Terng, Chunlian 16 1988 A general theory of canonical forms. Zbl 0652.57023Palais, Richard S.; Terng, Chuu-Lian 54 1987 Reduction of variables for minimal submanifolds. Zbl 0627.53050Palais, Richard S.; Terng, Chuu-Lian 2 1986 Geometry and topology of isoparametric submanifolds in Euclidean spaces. Zbl 0573.53033Hsiang, W. Y.; Palais, R. S.; Terng, C. L. 6 1985 Applications of the symmetric criticality principle in mathematical physics and differential geometry. Zbl 0792.53079Palais, Richard S. 5 1984 Real algebraic differential topology. Part I. Zbl 0477.57002Palais, Richard S. 10 1981 The principle of symmetric criticality. Zbl 0417.58007Palais, Richard S. 363 1979 Some analogues of Hartogs’ theorem in an algebraic setting. Zbl 0449.14002Palais, Richard S. 10 1978 A topological Gauss-Bonnet theorem. Zbl 0436.57006Palais, Richard S. 1 1978 Natural bundles have finite order. Zbl 0359.58004Palais, Richard S.; Terng, Chuu-Lian 33 1977 Equivariant, real algebraic differential topology. Part I: Smoothness categories and Nash manifolds. Zbl 0281.57015Palais, Richard S. 10 1972 Banach manifolds of fiber bundle sections. Zbl 0326.58008Palais, Richard S. 3 1971 Critical point theory and the minimax principle. Zbl 0212.28902Palais, R. S. 72 1970 Seminar on the Atiyah - Singer index theorem. Zbl 0202.23103Palais, R. S. 36 1970 \(C^1\) actions of compact Lie groups on compact manifolds are \(C^1\)-equivalent to \(C^\infty\) actions. Zbl 0203.26203Palais, Richard S. 9 1970 When proper maps are closed. Zbl 0189.53202Palais, Richard S. 9 1970 Manifolds of sections of fiber bundles and the calculus of variations. Zbl 0235.58008Palais, Richard S. 4 1970 The Morse lemma for Banach spaces. Zbl 0191.21704Palais, Richard S. 17 1969 Foundations of global non-linear analysis. Zbl 0164.11102Palais, R. S. 208 1968 The classification of real division algebras. Zbl 0159.04403Palais, R. S. 6 1968 Lusternik-Schnirelman theory on Banach manifolds. Zbl 0143.35203Palais, R. S. 179 1966 Homotopy theory of infinite dimensional manifolds. Zbl 0138.18302Palais, R. S. 168 1966 Homeomorphic conjugacy of automorphisms on the torus. Zbl 0229.22013Adler, R. L.; Palais, R. 14 1966 Seminar on the Atiyah-Singer index theorem. With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay. Zbl 0137.17002Palais, R. S. 204 1965 On the homotopy type of certain groups of operators. Zbl 0161.34501Palais, R. S. 35 1965 A generalized Morse theory. Zbl 0119.09201Palais, R. S.; Smale, S. 99 1964 Morse theory on Hilbert manifolds. Zbl 0122.10702Palais, R. S. 180 1963 Uncountably many inequivalent analytic actions of a compact group on \(R^ n\). Zbl 0121.17904Palais, R. S.; Richardson, R. W. jun. 2 1963 On the existence of slices for actions of non-compact Lie groups. Zbl 0103.01802Palais, Richard S. 229 1961 Equivalence of nearby differentiable actions of a compact group. Zbl 0102.38101Palais, Richard S. 29 1961 The cohomology of Lie rings. Zbl 0126.03404Palais, R. 12 1961 Torus bundles over a torus. Zbl 0102.38702Palais, R. S.; Stewart, T. E. 12 1961 The cohomology of differentiable transformation groups. Zbl 0104.17703Palais, Richard S.; Stewart, Thomas E. 8 1961 Logarithmically exact differential forms. Zbl 0196.38903Palais, R. S. 2 1961 The classification of \(G\)-spaces. Zbl 0119.38403Palais, R. S. 121 1960 Local triviality of the restriction map for embeddings. Zbl 0207.22501Palais, R. S. 37 1960 Sprays. Zbl 0097.37904Ambrose, W.; Palais, R. S.; Singer, I. M. 26 1960 Extending diffeomorphisms. Zbl 0095.16502Palais, Richard S. 21 1960 Deformations of compact differentiable transformation groups. Zbl 0106.16401Palais, Richard S.; Stewart, Thomas E. 8 1960 Natural operations on differential forms. Zbl 0092.30802Palais, Richard S. 58 1959 A covering homotopy theorem and the classification of \(G\)-spaces. Zbl 0105.16901Palais, Richard S. 1 1959 A global formulation of the Lie theory of transformation groups. Zbl 0178.26502Palais, R. S. 204 1957 On a class of transformation groups. Zbl 0084.03203Gleason, Andrew M.; Palais, Richard S. 32 1957 Imbedding of compact, differentiable transformation groups in orthogonal representations. Zbl 0086.02603Palais, Richard S. 22 1957 On the Differentiability of isometries. Zbl 0084.37405Palais, Richard S. 11 1957 A definition of the exterior derivative in terms of Lie derivatives. Zbl 0057.13301Palais, Richard S. 5 1954 all cited Publications top 5 cited Publications all top 5 Cited by 2,477 Authors 38 Papageorgiou, Nikolaos S. 29 Antonyan, Sergey A. 25 Giannoni, Fabio 22 Masiello, Antonio 21 Clapp, Mónica 16 Candela, Anna Maria 16 Piccione, Paolo 15 Rădulescu, Vicenţiu D. 13 Barros, Manuel 13 Benci, Vieri 13 Zhang, Shiqing 12 Antonyan, Natella 12 Koike, Naoyuki 12 Salvatore, Addolorata 12 Tromba, Anthony Joseph 11 Kristály, Alexandru 11 Repovš, Dušan D. 11 Rolando, Sergio 11 Struwe, Michael 10 Ambrosetti, Antonio 10 Deng, Zhiying 10 Gorodski, Claudio 10 Huang, Yisheng 9 Alexandrino, Marcos M. 9 Badiale, Marino 9 Bartsch, Thomas J. 9 Isaev, Alexander 9 Kolář, Ivan 9 Kollross, Andreas 9 Palais, Richard S. 9 Śniatycki, Jędrzej 9 Zaslavski, Alexander Yakovlevich 8 Church, Philip T. 8 Fortunato, Donato 8 Guillot, Adolfo 8 Michor, Peter Wolfram 8 Molica Bisci, Giovanni 8 Podestà, Fabio 8 Ratiu, Tudor Stefan 8 Soldatov, Aleksandr Pavlovich 8 Taubes, Clifford Henry 8 Uhlenbeck, Karen Keskulla 8 Zhukova, Nina Ivanovna 7 Mare, Augustin-Liviu 7 Mickelsson, Jouko 7 Motreanu, Dumitru 7 Olmos, Carlos Enrique 7 Segev, Reuven 7 Shiota, Masahiro 7 Stepanov, Sergeĭ Evgen’evich 7 Terng, Chuu-Lian 7 Wang, Zhi-Qiang 6 Alekseevskiĭ, Dmitriĭ Vladimirovich 6 Berger, Melvyn S. 6 Byeon, Jaeyoung 6 Bykov, Alexander I. 6 Caponio, Erasmo 6 Degiovanni, Marco 6 Ferrández, Angel 6 Fischer, Arthur Elliot 6 Gaeta, Giuseppe 6 Grove, Karsten 6 Jonard-Pérez, Natalia 6 Kajikiya, Ryuji 6 Li, Shujie 6 Marsden, Jerrold Eldon 6 Miyagaki, Olimpio Hiroshi 6 Perera, Kanishka 6 Raeburn, Iain 6 Rodríguez-Olmos, Miguel 6 Sánchez Caja, Miguel 6 Schechter, Martin 6 Smolentsev, Nicolai Konstantinovich 6 Tanno, Shukichi 6 Thorbergsson, Gudlaugur 6 Timourian, J. G. 6 Töben, Dirk 5 Ageev, Sergei M. 5 Biliotti, Leonardo 5 Booss-Bavnbek, Bernhelm 5 Brüning, Jochen 5 Corach, Gustavo 5 Ekeland, Ivar 5 Fan, Xianling 5 Garay, Oscar Jesus 5 Germinario, Anna Valeria 5 Goertsches, Oliver 5 Jaramillo, Jesús Angel 5 Javaloyes, Miguel Angel 5 Kankaanrinta, Marja 5 Loos, Ottmar 5 Majer, Pietro 5 Mathai, Varghese 5 Miranda, Eva 5 Nazarov, Alexander I. 5 Neeb, Karl-Hermann 5 Palese, Marcella 5 Penot, Jean-Paul 5 Pistoia, Angela 5 Rabinowitz, Paul Henry ...and 2,377 more Authors all top 5 Cited in 347 Serials 111 Transactions of the American Mathematical Society 75 Topology and its Applications 71 Mathematische Annalen 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 68 Communications in Mathematical Physics 64 Differential Geometry and its Applications 63 Journal of Mathematical Analysis and Applications 59 Journal of Geometry and Physics 58 Journal of Differential Equations 54 Proceedings of the American Mathematical Society 49 Advances in Mathematics 49 Journal of Functional Analysis 48 Mathematische Zeitschrift 46 Bulletin of the American Mathematical Society 40 Annali di Matematica Pura ed Applicata. Serie Quarta 39 Calculus of Variations and Partial Differential Equations 37 Nonlinear Analysis. Theory, Methods & Applications 36 Annals of Global Analysis and Geometry 32 Inventiones Mathematicae 29 Archive for Rational Mechanics and Analysis 28 Annales de l’Institut Fourier 27 Journal of Mathematical Sciences (New York) 26 Manuscripta Mathematica 24 Journal of Mathematical Physics 23 Geometriae Dedicata 23 Tohoku Mathematical Journal. Second Series 22 Compositio Mathematica 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 The Journal of Geometric Analysis 21 Siberian Mathematical Journal 19 Advanced Nonlinear Studies 19 Journal of Fixed Point Theory and Applications 18 International Journal of Mathematics 17 Letters in Mathematical Physics 17 Reports on Mathematical Physics 17 Archiv der Mathematik 15 Mathematical Notes 14 Israel Journal of Mathematics 14 Duke Mathematical Journal 14 Communications in Contemporary Mathematics 13 Czechoslovak Mathematical Journal 12 General Relativity and Gravitation 12 International Journal of Theoretical Physics 12 International Journal of Geometric Methods in Modern Physics 11 Ergodic Theory and Dynamical Systems 11 Boundary Value Problems 10 Rendiconti del Seminario Matematico della Università di Padova 9 Bulletin of the Australian Mathematical Society 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Journal of Soviet Mathematics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Geometry & Topology 8 Journal d’Analyse Mathématique 8 Acta Mathematica 8 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 8 Bulletin de la Société Mathématique de France 8 Cahiers de Topologie et Géométrie Différentielle Catégoriques 8 Publications Mathématiques 8 Journal of the Mathematical Society of Japan 8 Monatshefte für Mathematik 8 Bulletin of the American Mathematical Society. New Series 8 Indagationes Mathematicae. New Series 8 Journal of High Energy Physics 8 Algebraic & Geometric Topology 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Geometric Mechanics 7 Nuclear Physics. B 7 Rocky Mountain Journal of Mathematics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Integral Equations and Operator Theory 7 Journal of Algebra 7 Journal für die Reine und Angewandte Mathematik 7 Acta Applicandae Mathematicae 7 Communications in Partial Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 7 Transformation Groups 7 Acta Mathematica Sinica. English Series 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Communications on Pure and Applied Mathematics 6 Nonlinearity 6 Osaka Journal of Mathematics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Systems & Control Letters 6 Journal of Elasticity 6 Celestial Mechanics and Dynamical Astronomy 6 Nonlinear Analysis. Real World Applications 6 Communications on Pure and Applied Analysis 6 Kodai Mathematical Seminar Reports 6 Complex Variables and Elliptic Equations 6 Discrete and Continuous Dynamical Systems. Series S 6 Advances in Nonlinear Analysis 5 Applied Mathematics and Computation 5 Mathematische Nachrichten 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the Japan Academy. Series A 5 Tokyo Journal of Mathematics 5 Physica D 5 Applied Mathematics Letters ...and 247 more Serials all top 5 Cited in 59 Fields 775 Global analysis, analysis on manifolds (58-XX) 695 Differential geometry (53-XX) 512 Partial differential equations (35-XX) 391 Manifolds and cell complexes (57-XX) 236 Dynamical systems and ergodic theory (37-XX) 178 Topological groups, Lie groups (22-XX) 166 Algebraic topology (55-XX) 140 Mechanics of particles and systems (70-XX) 133 Operator theory (47-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 119 Functional analysis (46-XX) 119 Quantum theory (81-XX) 116 General topology (54-XX) 101 Several complex variables and analytic spaces (32-XX) 94 Ordinary differential equations (34-XX) 74 Relativity and gravitational theory (83-XX) 62 Algebraic geometry (14-XX) 47 Nonassociative rings and algebras (17-XX) 42 Group theory and generalizations (20-XX) 40 \(K\)-theory (19-XX) 32 Fluid mechanics (76-XX) 30 Mechanics of deformable solids (74-XX) 27 Numerical analysis (65-XX) 26 Operations research, mathematical programming (90-XX) 24 Geometry (51-XX) 24 Systems theory; control (93-XX) 22 Probability theory and stochastic processes (60-XX) 19 Functions of a complex variable (30-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Category theory; homological algebra (18-XX) 16 Optics, electromagnetic theory (78-XX) 15 Real functions (26-XX) 15 Convex and discrete geometry (52-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Abstract harmonic analysis (43-XX) 11 Associative rings and algebras (16-XX) 10 Commutative algebra (13-XX) 10 Measure and integration (28-XX) 10 Statistics (62-XX) 10 Computer science (68-XX) 7 Integral equations (45-XX) 5 History and biography (01-XX) 5 Field theory and polynomials (12-XX) 5 Potential theory (31-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Special functions (33-XX) 1 Classical thermodynamics, heat transfer (80-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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