Edit Profile (opens in new tab) Chern, Shiing-Shen Compute Distance To: Compute Author ID: chern.shiing-shen Published as: Chern, Shiing-shen; Chern, Shiing-Shen; Chern, S. S.; Chern, S.-S.; Chern, Shiingshen; Chern, Shiing Shen; Chern, Shing-Shen; Chern, S.-s.; Chern, Shiing S. more...less Further Spellings: Chen, Xingshen; Chén Xǐngshēn; 陳省身 External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Wolf Prize (1983) · Wolf Prize (1984) · Shaw Prize (2004) Documents Indexed: 236 Publications since 1935, including 26 Books 20 Contributions as Editor · 9 Further Contributions Biographic References: 33 Publications Co-Authors: 75 Co-Authors with 83 Joint Publications 1,306 Co-Co-Authors all top 5 Co-Authors 142 single-authored 7 Bao, David 7 Griffiths, Phillip Augustus 7 Shen, Zhongmin 5 Blaschke, Wilhelm 5 Burau, Rolf Werner 5 Leichtweiss, Kurt 5 Müller, Hans Robert 5 Santaló, Luis Antonio 5 Strubecker, Karl Georg 4 Wolfson, Jon Gordon 3 Bott, Raoul Harry 3 Bryant, Robert L. 3 Cartan, Élie 3 Cecil, Thomas E. 3 Cheng, Shiu-Yuen 3 Finikov, Sergeĭ Pavlovich 3 Hirzebruch, Friedrich 3 Kobayashi, Shoshichi 3 Osserman, Robert 3 Saldin, D. K. 3 Smale, Steve 2 Batra, Romesh C. 2 Cesari, Lamberto 2 Goldberg, Vladislav V. 2 Harp, G. R. 2 Hsiung, Chuan-Chih 2 Ji, Lizhen 2 Ji, Shanyu 2 Kuiper, Nicolaas Hendrik 2 Lashof, Richard K. 2 Morse, Marton 2 Moser, Jürgen K. 2 Simons, James 2 Spanier, Edwin Henry 2 Tenenblat, Keti 2 Yien, Chih-Ta 1 Abbott, James C. 1 Abhyankar, Shreeram Shankar 1 Allan, Vicki H. 1 Arcoumanis, C. 1 Arupathi, R. 1 Benz, Walter 1 Bliss, Gilbert Ames 1 Boothby, William M. 1 Borel, Armand 1 Bou, D. 1 Cartier, Pierre 1 Chandrasekharan, Komaravolu 1 Chen, Weihuan 1 Chevalley, Claude 1 Chi, Minyou 1 Chow, Wei-Liang 1 Cowen, Michael J. 1 Davis, Martin David 1 Davis, Philip J. 1 do Carmo, Manfredo Perdigão 1 Dohm, Volker 1 Ehrenpreis, Leon 1 Fu, Lei 1 Fuchs, Wolfgang H. J. 1 Gardner, Robert Brown 1 Garoff, Stephen 1 Goldberg, Samuel I. 1 Goldschmidt, Hubert Leopold 1 Griffith, Phillip A. 1 Grunsky, Helmut 1 Haberfield, C. M. 1 Hain, Richard M. 1 Hale-La Salle 1 Hamilton, Richard S. 1 Hano, J. 1 Hardy, Godfrey Harold 1 Hartman, Philip 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hopf, Heinz 1 1 Hu, Sze-Tsen 1 Igusa, Jun-ichi 1 Iyanaga, Shokichi 1 Jackson, Dunham 1 Jou, Yuh-Lin 1 Kac, Mark 1 Kailath, Thomas 1 Kölzow, Dietrich 1 Korevaar, Jacob 1 Kostant, Bertram 1 Lanczos, Cornelius 1 Lang, Serge 1 Lax, Peter David 1 Leichtweiß, K. 1 Levine, Harold I. 1 Levinson, Norman 1 Li, Peter 1 Liao, Shantao 1 Mac Lane, Leslie Saunders 1 McShane, Edward James 1 Megson, Graham M. 1 Moore, Calvin C. 1 Müller, Hans Robert ...and 30 more Co-Authors all top 5 Serials 16 Annals of Mathematics. Second Series 8 Proceedings of the National Academy of Sciences of the United States of America 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 American Journal of Mathematics 7 Bulletin of the American Mathematical Society 5 Proceedings of Symposia in Pure Mathematics 4 Bulletin des Sciences Mathématiques. Deuxième Série 4 Notices of the American Mathematical Society 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 4 Mathematical Sciences Research Institute Publications 3 Acta Mechanica 3 Computer Physics Communications 3 Mathematische Annalen 3 Mechanics Research Communications 3 Proceedings of the American Mathematical Society 3 Advances in Mathematics 3 Journal of Mathematics and Mechanics 3 Springer Collected Works in Mathematics 2 International Journal of Modern Physics B 2 American Mathematical Monthly 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Acta Mathematica 2 Commentarii Mathematici Helvetici 2 Duke Mathematical Journal 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 International Journal of Production Research 2 L’Enseignement Mathématique. 2e Série 2 Bollettino della Unione Matematica Italiana. Series II 2 Lecture Notes in Mathematics 2 Nankai Tracts in Mathematics 2 Acta. Pontificia Academia Scientarum 2 Surveys of Modern Mathematics 2 Universitext 1 Modern Physics Letters A 1 Applicable Analysis 1 Computers and Electrical Engineering 1 Computers and Structures 1 Houston Journal of Mathematics 1 International Journal of Mechanical Sciences 1 International Journal of Solids and Structures 1 Journal d’Analyse Mathématique 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Algebra Universalis 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Studies in Applied Mathematics 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 International Journal of Mathematics 1 FGCS. Future Generation Computer Systems 1 IEEE Transactions on Signal Processing 1 Journal of Dynamic Systems, Measurement and Control 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Physics of Fluids 1 The Asian Journal of Mathematics 1 Stochastic Environmental Research and Risk Assessment 1 Fuzzy Optimization and Decision Making 1 Journal of the Society for Industrial & Applied Mathematics 1 Scripta Mathematica 1 L’Enseignement Mathématique 1 Sankhyā 1 Contemporary Mathematics 1 Graduate Texts in Mathematics 1 Princeton Mathematical Series 1 Series on University Mathematics 1 Mathematical Medley 1 Anais da Academia Brasileira de Ciências 1 Journal of the Chinese Mathematical Society 1 Science Record 1 World Scientific Series in 20th Century Physics all top 5 Fields 114 Differential geometry (53-XX) 37 History and biography (01-XX) 16 Manifolds and cell complexes (57-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Several complex variables and analytic spaces (32-XX) 14 General and overarching topics; collections (00-XX) 12 Algebraic geometry (14-XX) 11 Mechanics of deformable solids (74-XX) 10 Partial differential equations (35-XX) 8 Algebraic topology (55-XX) 5 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 4,495 times in 3,775 Documents Cited by ▼ Year ▼ An introduction to Riemann-Finsler geometry. Zbl 0954.53001Bao, D.; Chern, S.-S.; Shen, Z. 593 2000 Real hypersurfaces in complex manifolds. Zbl 0302.32015Chern, S. S.; Moser, Jürgen K. 407 1975 Characteristic forms and geometric invariants. Zbl 0283.53036Chern, Shiing-shen; Simons, James 267 1974 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 231 1970 Exterior differential systems. Zbl 0726.58002Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A. 201 1991 Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005Chen, X.; Liu, B. 157 2010 Riemann-Finsler geometry. Zbl 1085.53066Chern, Shiing-Shen; Shen, Zhongmin 152 2005 A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds. Zbl 0060.38103Chern, Shiing-Shen 129 1944 Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906Bott, Raoul; Chern, Shiing-shen 110 1965 On the total curvature of immersed manifolds. Zbl 0078.13901Chern, Shiing-Shen; Lashof, Richard K. 101 1957 Minimal surfaces by moving frames. Zbl 0521.53050Chern, Shiing-shen; Wolfson, Jon Gordon 93 1983 On the curvatura integra in a Riemannian manifold. Zbl 0060.38104Chern, Shiing-shen 93 1945 Lectures on differential geometry. Zbl 0940.53001Chern, S. S.; Chen, W. H.; Lam, K. S. 83 1999 Complete minimal surfaces in Euclidean \(n\)-spaces. Zbl 0172.22802Chern, Shiing-shen; Osserman, R. 78 1967 Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017Chern, Shiing-Shen; Wolfson, Jon G. 75 1987 Characteristic classes of Hermitian manifolds. Zbl 0060.41416Chern, Shiing-Shen 75 1946 Pseudospherical surfaces and evolution equations. Zbl 0605.35080Chern, S. S.; Tenenblat, K. 72 1986 The geometry of \(G\)-structures. Zbl 0136.17804Chern, Shiing-shen 65 1966 Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0052.17601Chern, Shiing-shen; Kuiper, Nicolaas H. 63 1952 Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401Chern, S. S.; Simons, J. 55 1971 Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern. 2nd ed. Zbl 0669.53001Hopf, Heinz 50 1989 On the index of a fibered manifold. Zbl 0083.17801Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre 50 1957 Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512Chern, Shiing-Shen 49 1996 On curvature and characteristic classes of a Riemann manifold. Zbl 0066.17003Chern, Shiing-Shen 47 1955 On the total curvature of immersed manifolds. II. Zbl 0095.35803Chern, Shiing-shen; Lashof, Richard K. 47 1958 Complex manifolds without potential theory. Zbl 0158.33002Chern, Shiing-shen 45 1967 Intrinsic norms on a complex manifold. Zbl 0202.11603Chern, S. S.; Levine, H. I.; Nirenberg, Louis 45 1969 Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004Chern, Shiing-shen 43 1979 On the curvatures of a piece of hypersurface in Euclidean space. Zbl 0147.20901Chern, Shiing-shen 41 1965 Topics in differential geometry. Zbl 0054.06801Chern, Shiing-shen 39 1951 An elementary proof of the existence of isothermal parameters on a surface. Zbl 0066.15402Chern, Shiing-Shen 39 1955 An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002Chern, Shing-Shen; Terng, Chuu-Lian 38 1980 Some new characterizations of the Euclidean sphere. Zbl 0063.00833Chern, Shiing-Shen 38 1945 On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039Chern, S. S.; Hamilton, R. S. 34 1985 On the multiplication in the characteristic ring of a sphere bundle. Zbl 0033.40202Chern, Shiing-shen 31 1948 On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049Chern, Shiing-shen; Goldberg, Samuel I. 28 1975 Abel’s theorem and webs. Zbl 0386.14002Chern, S. S.; Griffiths, Phillip 27 1978 Sur la géométrie d’un système d’équations différentielles du second ordre. JFM 65.1419.01Chern, S.-S. 27 1939 Complex analytical mappings of Riemann surfaces. I. Zbl 0103.30104Chern, Shiing-shen 26 1960 On special \(W\)-surfaces. Zbl 0067.13801Chern, Shiing-Shen 25 1955 Pseudo Riemannian geometry and the Gauss-Bonnet formula. Zbl 0113.37001Chern, Shiing-shen 25 1963 Web geometry. Zbl 0483.53013Chern, Shiing-Shen 24 1982 Lie groups and KdV equations. Zbl 0408.35074Chern, Shiing-shen; Peng, Chia-kuei 24 1979 On the kinematic formula in integral geometry. Zbl 0142.20704Chern, Shiing-shen 24 1966 A theorem on orientable surfaces in four-dimensional space. Zbl 0043.38403Chern, Shiing-shen; Spanier, Edwin H. 23 1951 On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601Chern, S.-s. 23 1970 The geometry of the differential equation \(y''' = F(x, y, y', y'')\). JFM 66.0879.02Chern, S. S. 22 1940 Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature. Zbl 0168.19505Chern, Shiing-shen 21 1967 A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046Bao, David; Chern, S. S. 20 1996 On the kinematic formula in the Euclidean space of \(n\) dimensions. Zbl 0046.16101Chern, Shiing-Shen 19 1952 The integrated form of the first main theorem for complex analytic mappings in several complex variables. Zbl 0142.04802Chern, Shiing-shen 17 1960 Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603Chern, Shiing-shen 17 1969 Topologische Fragen der Differentialgeometrie. LXII. Eine Invariantentheorie der Dreigewebe aus \(r\)-dimensionalen Mannigfaltigkeiten im \(\mathbb{R}_{2r}\). Zbl 0013.41802Chern, Shiing-Shen 17 1936 On a notable connection in Finsler geometry. Zbl 0787.53018Bao, David; Chern, S. S. 16 1993 On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019Chern, Shiing-Shen 16 1975 Integral formulas for hypersurfaces in Euclidean space and their applications to uniqueness theorems. Zbl 0090.12802Chern, Shiing-shen 16 1959 On a generalization of Kaehler geometry. Zbl 0078.14103Chern, Shiing-shen 15 1957 Tautness and Lie sphere geometry. Zbl 0635.53029Cecil, Thomas E.; Chern, Shiing-Shen 14 1987 Pseudogroupes continus infinis. Zbl 0053.01604Chern, Shiing-Shen 13 1953 On holomorphic mappings of hermitian manifolds of the same dimension. Zbl 0184.31202Chern, Shiing-shen 13 1968 Élie Cartan and his mathematical work. Zbl 0046.00304Chern, Shiing-shen; Chevalley, Claude 12 1952 Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0049.23402Chern, Shiing-shen; Kuiper, Nicolaas H. 12 1952 On the characteristic classes of complex sphere bundles and algebraic varieties. Zbl 0051.14301Chern, Shiing-shen 12 1953 A sampler of Riemann-Finsler geometry. Zbl 1054.53001 12 2004 Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern. Zbl 1025.53002Cartan, Élie 12 2001 Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003Cecil, Thomas E.; Chern, Shiing-Shen 12 1989 On integral geometry in Klein spaces. JFM 68.0462.02Chern, S. S. 12 1942 Deformation of surfaces preserving principal curvatures. Zbl 0566.53002Chern, Shiing-shen 11 1985 On the Riemann mapping theorem. Zbl 0872.32016Chern, Shiing-Shen; Ji, Shanyu 11 1996 Differentiable manifolds. Zbl 0099.37402Chern, Shiing-shen 11 1959 An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001Chern, Shiing-Shen; Griffiths, Phillip A. 10 1978 Differential geometry; its past and its future. Zbl 0232.53001Chern, Shiing-shen 10 1971 Minimal surfaces in an Euclidean space of \(n\) dimensions. Zbl 0136.16701Chern, Shiing-shen 10 1965 Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009Chen, X.; Namah, G. 9 1997 Curves and surfaces in Euclidean space. Zbl 0683.53002Chern, S. S. 9 1989 Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056Chern, Shiing-Shen 9 1981 On isothermic coordinates. Zbl 0056.40206Chern, Shiing-shen; Hartman, Philip; Wintner, Aurel 8 1954 On the Euclidean connections in a Finsler space. Zbl 0060.39210Chern, Shiing-shen 8 1943 Some new viewpoints in differential geometry in the large. Zbl 0063.00834Chern, Shiing-Shen 8 1946 Scientific report on the Second Summer Institute. Several complex variables. Part II: Complex manifolds. Zbl 0074.30301Chern, Shiing-shen 8 1956 On minimal spheres in the four-sphere. Zbl 0212.26402Chern, S.-S. 8 1970 The geometry of the differential equation \(y'''=f(x,y,y',y'')\). Zbl 0024.19801Chern, Shiing-Shen 8 1940 Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051Chern, Shiing-shen 7 1996 Meromorphic vector fields and characteristic numbers. Zbl 0265.32013Chern, Shiing-Shen 7 1973 Exterior differential systems. Zbl 0516.58003Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A. 7 1982 La géométrie des sous-variétés d’un espace euclidean à plusieurs dimensions. Zbl 0064.17504Chern, Shiing-Shen 7 1955 On integral geometry in Klein spaces. Zbl 0147.22303Chern, Shiing-shen 7 1942 Topologische Fragen der Differentialgeometrie. LXII: Eine Invariantentheorie der Dreigewebe aus \(r\)-dimensionalen Mannigfaltigkeiten im \(R_{2r}\). JFM 62.0829.03Chern, S.-S. 7 1936 Sur la géométrie d’une équation différentielle du troisieme ordre. Zbl 0016.16401Chern, Shiing-shen 7 1937 Sur la géométrie d’un système d’équations différentielles du second ordre. Zbl 0023.07701Chern, Shiing-Shen 7 1939 On the characteristic classes of Riemannian manifolds. Zbl 0034.25002Chern, Shiing-Shen 6 1947 Laplace transforms of a class of higher dimensional varieties in a projective space of \(n\) dimensions. Zbl 0063.00831Chern, Shiing-shen 6 1944 Some formulas related to complex transgression. Zbl 0203.54202Bott, Raoul; Chern, S. S. 6 1970 Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). Revised printing of the second edition 1979. Zbl 1101.32301Chern, Shiing-Shen 6 1995 On the isometry of compact submanifolds in Euclidean space. Zbl 0124.37501Chern, Shiing-shen; Hsiung, C. 6 1963 Projective geometry and Riemann’s mapping problem. Zbl 0843.32013Chern, Shiing-Shen; Ji, Shanyu 5 1995 Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003Chern, S. S.; Griffiths, P. 5 1981 Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019Chern, Shiing-Shen; Tenenblat, Keti 5 1981 On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006Chern, Shiing-shen 5 1983 Topological questions of differential geometry. LX: Enumerations of webs. (Topologische Fragen der Differentialgeometrie. LX: Abzählungen für Gewebe.) Zbl 0011.13202Chern, Shiing-Shen 5 1935 Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005Chen, X.; Liu, B. 157 2010 Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183Li, Y. P.; Huang, G. H.; Chen, X. 2 2009 Finite-size scaling of the correlation length in anisotropic systems. Zbl 1142.82333Chen, X. S.; Zhang, H. Y. 1 2007 Chern’s work in geometry. Zbl 1125.53001Yau, Shing-Tung 4 2006 On multiscale significance of Rice’s normality structure. Zbl 1192.74009Yang, Q.; Chen, X.; Zhou, W. Y. 2 2006 A novel DCT-based algorithm for computing the modulated complex lapped transform. Zbl 1374.94695Chen, X.; Dai, Q. 2 2006 Riemann-Finsler geometry. Zbl 1085.53066Chern, Shiing-Shen; Shen, Zhongmin 152 2005 A sampler of Riemann-Finsler geometry. Zbl 1054.53001 12 2004 Modeling of ratcheting behavior under multiaxial cyclic loading. Zbl 1064.74518Chen, X.; Kim, K. S. 5 2003 The effects of thin and ultrathin liquid films on dynamic wetting. Zbl 1186.76101Chen, X.; Ramé, E.; Garoff, S. 2 2003 Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern. Zbl 1025.53002Cartan, Élie 12 2001 Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern. Zbl 1009.53003Cartan, Élie 5 2001 Wolf prize in mathematics. Vol. 2. Zbl 1030.01001 1 2001 Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern. Zbl 1016.53002Cartan, Élie 1 2001 An introduction to Riemann-Finsler geometry. Zbl 0954.53001Bao, D.; Chern, S.-S.; Shen, Z. 593 2000 Wolf prize in mathematics. Vol. 1. Zbl 0972.01032 1 2000 Lectures on differential geometry. Zbl 0940.53001Chern, S. S.; Chen, W. H.; Lam, K. S. 83 1999 Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures. Zbl 0943.74016Chen, X.; Tan, C. P.; Haberfield, C. M. 1 1999 Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009Chen, X.; Namah, G. 9 1997 Rigidity issues on Finsler surfaces. Zbl 0933.53033Bou, D.; Chern, S. S.; Shen, Z. 3 1997 Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512Chern, Shiing-Shen 49 1996 A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046Bao, David; Chern, S. S. 20 1996 On the Riemann mapping theorem. Zbl 0872.32016Chern, Shiing-Shen; Ji, Shanyu 11 1996 Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051Chern, Shiing-shen 7 1996 Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019 4 1996 On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053Bao, David; Chern, S. S.; Shen, Z. 4 1996 Blank development and the prediction of earing in cup drawing. Zbl 0843.73035Chen, X.; Sowerby, R. 3 1996 Finsler geometry over the reals. Zbl 0854.53023Bao, D.; Chern, S. S.; Shen, Z. 2 1996 The mathematics of China. Zbl 0872.01040Chern, S. S. 1 1996 A mathematician and his mathematical work. Selected papers of S. S. Chern. Edited and with a foreword by S. Y. Cheng, P. Li and G. Tian. Zbl 0924.01033Chern, S. S. 1 1996 Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). Revised printing of the second edition 1979. Zbl 1101.32301Chern, Shiing-Shen 6 1995 Projective geometry and Riemann’s mapping problem. Zbl 0843.32013Chern, Shiing-Shen; Ji, Shanyu 5 1995 Analysis of arbitrary Mindlin plates or bridge decks by spline finite strip method. Zbl 0877.73078Ng, S. F.; Chen, X. 1 1995 Effect of frictional force and nose shape on axisymmetric deformations of a thick thermoviscoplastic target. Zbl 0848.73017Batra, R. C.; Chen, X. 1 1994 On a notable connection in Finsler geometry. Zbl 0787.53018Bao, David; Chern, S. S. 16 1993 Effect of frictional force on the steady state axisymmetric deformations of a viscoplastic target. Zbl 0825.73636Chen, X.; Batra, R. C. 1 1993 On Finsler geometry. Zbl 0755.53044Chern, Shiing-Shen 3 1992 Exterior differential systems. Zbl 0726.58002Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A. 201 1991 Transgression in associated bundles. Zbl 0768.53014Chern, Shiing-Shen 1 1991 Surface theory with Darboux and Bianchi. Zbl 0734.53008Chern, Shiing-Shen 1 1991 What is geometry? Zbl 0717.51002Chern, Shiing-Shen 3 1990 Historical remarks on Gauss-Bonnet. Zbl 0701.53039Chern, Shing-Shen 1 1990 Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern. 2nd ed. Zbl 0669.53001Hopf, Heinz 50 1989 Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003Cecil, Thomas E.; Chern, Shiing-Shen 12 1989 Curves and surfaces in Euclidean space. Zbl 0683.53002Chern, S. S. 9 1989 Global differential geometry. 2nd ed. Zbl 0683.53001 4 1989 Vector bundles with a connection. Zbl 0683.53026Chern, S. S. 1 1989 Selected papers. Volume II-IV. Zbl 0682.01017Chern, Shiing-Shen 1 1989 Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017Chern, Shiing-Shen; Wolfson, Jon G. 75 1987 Tautness and Lie sphere geometry. Zbl 0635.53029Cecil, Thomas E.; Chern, Shiing-Shen 14 1987 Pseudospherical surfaces and evolution equations. Zbl 0605.35080Chern, S. S.; Tenenblat, K. 72 1986 On a conformal invariant of three-dimensional manifolds. Zbl 0589.53011Chern, Shiing-shen 2 1986 On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039Chern, S. S.; Hamilton, R. S. 34 1985 Deformation of surfaces preserving principal curvatures. Zbl 0566.53002Chern, Shiing-shen 11 1985 Harmonic maps of \(S^ 2\) into a complex Grassmann manifold. Zbl 0601.58023Chern, Shiing Shen; Wolfson, Jon 4 1985 Collected works. Vol. 4: Affine differential geometry. Differential geometry of circle and sphere groups. (Gesammelte Werke. Hrsg. von W. Burau, S. S. Chern, K. Leichtweiß, H. R. Müller, L. A. Santalo, U. Simon, K. Strubecker. Band 4: Affine Differentialgeometrie. Differentialgeometrie der Kreis- und Kugelgruppen. Kommentiert von Werner Burau und Udo Simon.) Zbl 0656.53002Blaschke, Wilhelm 3 1985 Collected works. Vol. 3: Convex geometry. (Gesammelte Werke. Hrsg. von W. Burau, S. S. Chern, K. Leichtweiß, H. R. Müller, L. A. Santalo, U. Simon, K. Strubecker. Band 3: Konvexgeometrie. Kommentiert von Kurt Leichtweiß.) Zbl 0655.52001Blaschke, Wilhelm 1 1985 Minimal surfaces by moving frames. Zbl 0521.53050Chern, Shiing-shen; Wolfson, Jon Gordon 93 1983 On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006Chern, Shiing-shen 5 1983 Real hypersurfaces in complex manifolds. Zbl 0519.32014Chern, S. S.; Moser, Jürgen K. 4 1983 Web geometry. Zbl 0483.53013Chern, Shiing-Shen 24 1982 Exterior differential systems. Zbl 0516.58003Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A. 7 1982 Projective geometry, contact transformations, and CR-structures. Zbl 0456.53023Chern, Shiing-shen 2 1982 Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056Chern, Shiing-Shen 9 1981 Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003Chern, S. S.; Griffiths, P. 5 1981 Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019Chern, Shiing-Shen; Tenenblat, Keti 5 1981 Remarks on the Riemannian metric of a minimal submanifold. Zbl 0477.53056Chern, S.-S.; Osserman, R. 4 1981 A simple proof of Frobenius theorem. Zbl 0481.58007Chern, Shiing-shen; Wolfson, Jon G. 1 1981 An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002Chern, Shing-Shen; Terng, Chuu-Lian 38 1980 Geometry and physics. Zbl 0455.53052Chern, Shiing-shen 1 1980 Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004Chern, Shiing-shen 43 1979 Lie groups and KdV equations. Zbl 0408.35074Chern, Shiing-shen; Peng, Chia-kuei 24 1979 From triangles to manifolds. Zbl 0425.53002Chern, Shiing-Shen 4 1979 Affine minimal hypersurfaces. Zbl 0439.53008Chern, Shiing-Shen 3 1979 Abel’s theorem and webs. Zbl 0386.14002Chern, S. S.; Griffiths, Phillip 27 1978 An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001Chern, Shiing-Shen; Griffiths, Phillip A. 10 1978 Selected papers. Vol. 1. Zbl 0403.01012Chern, Shiing-shen 3 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 Circle bundles. Zbl 0356.55005Chern, Shiing-shen 3 1977 Linearization of webs of codimension one and maximum rank. Zbl 0406.14003Chern, Shiing-shen; Griffiths, Phillip A. 1 1977 Duality properties of characteristic forms. Zbl 0343.53015Chern, Shiing-shen; White, James 1 1976 Real hypersurfaces in complex manifolds. Zbl 0302.32015Chern, S. S.; Moser, Jürgen K. 407 1975 On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049Chern, Shiing-shen; Goldberg, Samuel I. 28 1975 On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019Chern, Shiing-Shen 16 1975 Characteristic forms and geometric invariants. Zbl 0283.53036Chern, Shiing-shen; Simons, James 267 1974 Meromorphic vector fields and characteristic numbers. Zbl 0265.32013Chern, Shiing-Shen 7 1973 The mathematical works of Wilhelm Blaschke. Zbl 0264.01021Chern, Shiing-shen 2 1973 Geometry of characteristic classes. Zbl 0292.57016Chern, S. S. 1 1973 Geometry of characteristic classes. Zbl 0269.57013Chern, Shiing-shen 2 1972 Holomorphic curves in the plane. Zbl 0249.32016Chern, Shiing-Shen 2 1972 Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401Chern, S. S.; Simons, J. 55 1971 Differential geometry; its past and its future. Zbl 0232.53001Chern, Shiing-shen 10 1971 Brief survey of minimal submanifolds. Zbl 0218.53070Chern, S.-s. 3 1971 Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S. 231 1970 On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601Chern, S.-s. 23 1970 On minimal spheres in the four-sphere. Zbl 0212.26402Chern, S.-S. 8 1970 Some formulas related to complex transgression. Zbl 0203.54202Bott, Raoul; Chern, S. S. 6 1970 Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101Bott, Raoul; Chern, S. S. 2 1970 Global analysis. Proceedings of the symposium in pure mathematics of the American Mathematical Society held at the University of California, Berkeley, California July 1-26, 1968. Part 1. Zbl 0204.07601Chern, S.-S.; Smale, S. 1 1970 Global analysis. Proceedings of the symposium in pure mathematics of the American Mathematical Society held at the University of California, Berkeley, California July 1-26, 1968. Part 2. Zbl 0204.07602Chern, S.-S.; Smale, S. 1 1970 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,350 Authors 28 Jiao, Xiaoxiang 25 Deng, Shaoqiang 23 Xu, Hongwei 22 Mo, Xiaohuan 22 Xu, Ming 21 Morozov, Alexei Yurievich 21 Tenenblat, Keti 20 Huang, Xiaojun 19 Bidabad, Behroz 19 Chen, Bang-Yen 19 Loboda, Aleksandr Vasil’evich 18 Beloshapka, Valeriĭ K. 18 Shen, Yibing 17 Lamel, Bernhard 17 Li, Jiayu 16 Ezhov, Vladimir Vladimirovich 16 Merker, Joël 16 Mironov, Andrei D. 16 Otsuki, Tominosuke 16 Schmalz, Gerd 16 Zaitsev, Dmitri 15 Bracken, Paul Francis 15 Ebenfelt, Peter 15 Gilkey, Peter B. 15 Kossovskiy, Il’ya Grigor’evich 15 Kristály, Alexandru 15 Kruglikov, Boris S. 15 Li, Haizhong 14 Kolář, Martin 14 Sabau, Sorin Vasile 14 Zhong, Chunping 13 Fei, Jie 13 Ohta, Shin-ichi 13 Shen, Zhongmin 12 Bismut, Jean-Michel 12 Chern, Shiing-Shen 12 Griffiths, Phillip Augustus 12 Salimi Moghaddam, Hamid Reza 12 Shanker, Gauree 12 Wang, Jun 12 Xu, Xiaowei 11 Alías, Luis J. 11 Cheng, Xinyue 11 Han, Xiaoli 11 Huang, Libing 11 Isaev, Alexander 11 Javaloyes, Miguel Angel 11 Lin, Chang-Shou 11 Perrone, Domenico 11 Wu, Bingye 11 Xia, Qiaoling 10 Aldea, Nicoleta 10 Baouendi, Mohammed Salah 10 Forstnerič, Franc 10 Ji, Shanyu 10 Latifi, Dariush 10 Musso, Emilio 10 Qiu, Chunhui 10 Tayebi, Akbar 10 Vincze, Csaba 10 Yau, Shing-Tung 9 Angella, Daniele 9 Braga Brito, Fabiano Gustavo 9 Bucataru, Ioan 9 Burns, Daniel M. jun. 9 Caponio, Erasmo 9 He, Qun 9 Hsiang, Wu-Yi 9 Matveev, Vladimir S. 9 Meylan, Francine 9 Muzsnay, Zoltán 9 Peyghan, Esmaeil 9 Romero, Alfonso 9 Rothschild, Linda Preiss 9 Simon, Udo 9 Vlachos, Theodoros 9 Xia, Changyu 9 Yano, Kentaro 9 Yin, Songting 8 Alesker, Semyon 8 Antonelli, Peter Louis 8 Bedford, Eric 8 Bryant, Robert L. 8 Cheng, Jih-Hsin 8 Duan, Yishi 8 Han, Chong-Kyu 8 Hartman, Philip 8 Kamran, Niky 8 Kim, Sung-Yeon 8 Kopacz, Piotr 8 Lychagin, Valentin V. 8 Mir, Nordine 8 Peng, Chiakuei 8 Prástaro, Agostino 8 Reyes, Enrique G. 8 Ru, Min 8 Webster, Sidney M. 8 Yajima, Takahiro 8 Yan, Zaili 8 Zhao, Wei ...and 3,250 more Authors all top 5 Cited in 433 Serials 165 Differential Geometry and its Applications 130 Journal of Geometry and Physics 127 Transactions of the American Mathematical Society 114 Mathematische Annalen 105 Proceedings of the American Mathematical Society 103 Mathematische Zeitschrift 97 Advances in Mathematics 95 The Journal of Geometric Analysis 73 Tôhoku Mathematical Journal. 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