## Chern, Shiing-Shen

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 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
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### 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
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### 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
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### 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)

### 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 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
2000
Real hypersurfaces in complex manifolds. Zbl 0302.32015
Chern, S. S.; Moser, Jürgen K.
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
1974
Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001
Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S.
1970
Exterior differential systems. Zbl 0726.58002
Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A.
1991
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
2010
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
2005
A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds. Zbl 0060.38103
Chern, Shiing-Shen
1944
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
1965
On the total curvature of immersed manifolds. Zbl 0078.13901
Chern, Shiing-Shen; Lashof, Richard K.
1957
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
1983
On the curvatura integra in a Riemannian manifold. Zbl 0060.38104
Chern, Shiing-shen
1945
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
1999
Complete minimal surfaces in Euclidean $$n$$-spaces. Zbl 0172.22802
Chern, Shiing-shen; Osserman, R.
1967
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
1987
Characteristic classes of Hermitian manifolds. Zbl 0060.41416
Chern, Shiing-Shen
1946
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
1986
The geometry of $$G$$-structures. Zbl 0136.17804
Chern, Shiing-shen
1966
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0052.17601
Chern, Shiing-shen; Kuiper, Nicolaas H.
1952
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
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 0669.53001
Hopf, Heinz
1989
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
1957
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
1996
On curvature and characteristic classes of a Riemann manifold. Zbl 0066.17003
Chern, Shiing-Shen
1955
On the total curvature of immersed manifolds. II. Zbl 0095.35803
Chern, Shiing-shen; Lashof, Richard K.
1958
Complex manifolds without potential theory. Zbl 0158.33002
Chern, Shiing-shen
1967
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
1969
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004
Chern, Shiing-shen
1979
On the curvatures of a piece of hypersurface in Euclidean space. Zbl 0147.20901
Chern, Shiing-shen
1965
Topics in differential geometry. Zbl 0054.06801
Chern, Shiing-shen
1951
An elementary proof of the existence of isothermal parameters on a surface. Zbl 0066.15402
Chern, Shiing-Shen
1955
An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002
Chern, Shing-Shen; Terng, Chuu-Lian
1980
Some new characterizations of the Euclidean sphere. Zbl 0063.00833
Chern, Shiing-Shen
1945
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
1985
On the multiplication in the characteristic ring of a sphere bundle. Zbl 0033.40202
Chern, Shiing-shen
1948
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
1975
Abel’s theorem and webs. Zbl 0386.14002
Chern, S. S.; Griffiths, Phillip
1978
Sur la géométrie d’un système d’équations différentielles du second ordre. JFM 65.1419.01
Chern, S.-S.
1939
Complex analytical mappings of Riemann surfaces. I. Zbl 0103.30104
Chern, Shiing-shen
1960
On special $$W$$-surfaces. Zbl 0067.13801
Chern, Shiing-Shen
1955
Pseudo Riemannian geometry and the Gauss-Bonnet formula. Zbl 0113.37001
Chern, Shiing-shen
1963
Web geometry. Zbl 0483.53013
Chern, Shiing-Shen
1982
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
1979
On the kinematic formula in integral geometry. Zbl 0142.20704
Chern, Shiing-shen
1966
A theorem on orientable surfaces in four-dimensional space. Zbl 0043.38403
Chern, Shiing-shen; Spanier, Edwin H.
1951
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
1970
The geometry of the differential equation $$y''' = F(x, y, y', y'')$$. JFM 66.0879.02
Chern, S. S.
1940
Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature. Zbl 0168.19505
Chern, Shiing-shen
1967
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
1996
On the kinematic formula in the Euclidean space of $$n$$ dimensions. Zbl 0046.16101
Chern, Shiing-Shen
1952
The integrated form of the first main theorem for complex analytic mappings in several complex variables. Zbl 0142.04802
Chern, Shiing-shen
1960
Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603
Chern, Shiing-shen
1969
Topologische Fragen der Differentialgeometrie. LXII. Eine Invariantentheorie der Dreigewebe aus $$r$$-dimensionalen Mannigfaltigkeiten im $$\mathbb{R}_{2r}$$. Zbl 0013.41802
Chern, Shiing-Shen
1936
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
1993
On the projective structure of a real hypersurface in $$C_{n+1}$$. Zbl 0305.53019
Chern, Shiing-Shen
1975
Integral formulas for hypersurfaces in Euclidean space and their applications to uniqueness theorems. Zbl 0090.12802
Chern, Shiing-shen
1959
On a generalization of Kaehler geometry. Zbl 0078.14103
Chern, Shiing-shen
1957
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
1987
Pseudogroupes continus infinis. Zbl 0053.01604
Chern, Shiing-Shen
1953
On holomorphic mappings of hermitian manifolds of the same dimension. Zbl 0184.31202
Chern, Shiing-shen
1968
Élie Cartan and his mathematical work. Zbl 0046.00304
Chern, Shiing-shen; Chevalley, Claude
1952
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0049.23402
Chern, Shiing-shen; Kuiper, Nicolaas H.
1952
On the characteristic classes of complex sphere bundles and algebraic varieties. Zbl 0051.14301
Chern, Shiing-shen
1953
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
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 1025.53002
Cartan, Élie
2001
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
1989
On integral geometry in Klein spaces. JFM 68.0462.02
Chern, S. S.
1942
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
1985
On the Riemann mapping theorem. Zbl 0872.32016
Chern, Shiing-Shen; Ji, Shanyu
1996
Differentiable manifolds. Zbl 0099.37402
Chern, Shiing-shen
1959
An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001
Chern, Shiing-Shen; Griffiths, Phillip A.
1978
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
1971
Minimal surfaces in an Euclidean space of $$n$$ dimensions. Zbl 0136.16701
Chern, Shiing-shen
1965
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
1997
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
1989
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
1981
On isothermic coordinates. Zbl 0056.40206
Chern, Shiing-shen; Hartman, Philip; Wintner, Aurel
1954
On the Euclidean connections in a Finsler space. Zbl 0060.39210
Chern, Shiing-shen
1943
Some new viewpoints in differential geometry in the large. Zbl 0063.00834
Chern, Shiing-Shen
1946
Scientific report on the Second Summer Institute. Several complex variables. Part II: Complex manifolds. Zbl 0074.30301
Chern, Shiing-shen
1956
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
1970
The geometry of the differential equation $$y'''=f(x,y,y',y'')$$. Zbl 0024.19801
Chern, Shiing-Shen
1940
Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051
Chern, Shiing-shen
1996
Meromorphic vector fields and characteristic numbers. Zbl 0265.32013
Chern, Shiing-Shen
1973
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
1982
La géométrie des sous-variétés d’un espace euclidean à plusieurs dimensions. Zbl 0064.17504
Chern, Shiing-Shen
1955
On integral geometry in Klein spaces. Zbl 0147.22303
Chern, Shiing-shen
1942
Topologische Fragen der Differentialgeometrie. LXII: Eine Invariantentheorie der Dreigewebe aus $$r$$-dimensionalen Mannigfaltigkeiten im $$R_{2r}$$. JFM 62.0829.03
Chern, S.-S.
1936
Sur la géométrie d’une équation différentielle du troisieme ordre. Zbl 0016.16401
Chern, Shiing-shen
1937
Sur la géométrie d’un système d’équations différentielles du second ordre. Zbl 0023.07701
Chern, Shiing-Shen
1939
On the characteristic classes of Riemannian manifolds. Zbl 0034.25002
Chern, Shiing-Shen
1947
Laplace transforms of a class of higher dimensional varieties in a projective space of $$n$$ dimensions. Zbl 0063.00831
Chern, Shiing-shen
1944
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
1970
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). Revised printing of the second edition 1979. Zbl 1101.32301
Chern, Shiing-Shen
1995
On the isometry of compact submanifolds in Euclidean space. Zbl 0124.37501
Chern, Shiing-shen; Hsiung, C.
1963
Projective geometry and Riemann’s mapping problem. Zbl 0843.32013
Chern, Shiing-Shen; Ji, Shanyu
1995
Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003
Chern, S. S.; Griffiths, P.
1981
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
1981
On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006
Chern, Shiing-shen
1983
Topological questions of differential geometry. LX: Enumerations of webs. (Topologische Fragen der Differentialgeometrie. LX: Abzählungen für Gewebe.) Zbl 0011.13202
Chern, Shiing-Shen
1935
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
2010
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
2009
Finite-size scaling of the correlation length in anisotropic systems. Zbl 1142.82333
Chen, X. S.; Zhang, H. Y.
2007
Chern’s work in geometry. Zbl 1125.53001
Yau, Shing-Tung
2006
On multiscale significance of Rice’s normality structure. Zbl 1192.74009
Yang, Q.; Chen, X.; Zhou, W. Y.
2006
A novel DCT-based algorithm for computing the modulated complex lapped transform. Zbl 1374.94695
Chen, X.; Dai, Q.
2006
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
2005
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
2004
Chen, X.; Kim, K. S.
2003
The effects of thin and ultrathin liquid films on dynamic wetting. Zbl 1186.76101
Chen, X.; Ramé, E.; Garoff, S.
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 1025.53002
Cartan, Élie
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 1009.53003
Cartan, Élie
2001
Wolf prize in mathematics. Vol. 2. Zbl 1030.01001
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 1016.53002
Cartan, Élie
2001
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
2000
Wolf prize in mathematics. Vol. 1. Zbl 0972.01032
2000
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
1999
Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures. Zbl 0943.74016
Chen, X.; Tan, C. P.; Haberfield, C. M.
1999
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
1997
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
1997
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
1996
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
1996
On the Riemann mapping theorem. Zbl 0872.32016
Chern, Shiing-Shen; Ji, Shanyu
1996
Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051
Chern, Shiing-shen
1996
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
1996
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
1996
Blank development and the prediction of earing in cup drawing. Zbl 0843.73035
Chen, X.; Sowerby, R.
1996
Finsler geometry over the reals. Zbl 0854.53023
Bao, D.; Chern, S. S.; Shen, Z.
1996
The mathematics of China. Zbl 0872.01040
Chern, S. S.
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 0924.01033
Chern, S. S.
1996
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). Revised printing of the second edition 1979. Zbl 1101.32301
Chern, Shiing-Shen
1995
Projective geometry and Riemann’s mapping problem. Zbl 0843.32013
Chern, Shiing-Shen; Ji, Shanyu
1995
Analysis of arbitrary Mindlin plates or bridge decks by spline finite strip method. Zbl 0877.73078
Ng, S. F.; Chen, X.
1995
Effect of frictional force and nose shape on axisymmetric deformations of a thick thermoviscoplastic target. Zbl 0848.73017
Batra, R. C.; Chen, X.
1994
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
1993
Effect of frictional force on the steady state axisymmetric deformations of a viscoplastic target. Zbl 0825.73636
Chen, X.; Batra, R. C.
1993
On Finsler geometry. Zbl 0755.53044
Chern, Shiing-Shen
1992
Exterior differential systems. Zbl 0726.58002
Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A.
1991
Transgression in associated bundles. Zbl 0768.53014
Chern, Shiing-Shen
1991
Surface theory with Darboux and Bianchi. Zbl 0734.53008
Chern, Shiing-Shen
1991
What is geometry? Zbl 0717.51002
Chern, Shiing-Shen
1990
Historical remarks on Gauss-Bonnet. Zbl 0701.53039
Chern, Shing-Shen
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 0669.53001
Hopf, Heinz
1989
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
1989
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
1989
Global differential geometry. 2nd ed. Zbl 0683.53001
1989
Vector bundles with a connection. Zbl 0683.53026
Chern, S. S.
1989
Selected papers. Volume II-IV. Zbl 0682.01017
Chern, Shiing-Shen
1989
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
1987
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
1987
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
1986
On a conformal invariant of three-dimensional manifolds. Zbl 0589.53011
Chern, Shiing-shen
1986
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
1985
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
1985
Harmonic maps of $$S^ 2$$ into a complex Grassmann manifold. Zbl 0601.58023
Chern, Shiing Shen; Wolfson, Jon
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 0656.53002
Blaschke, Wilhelm
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 0655.52001
Blaschke, Wilhelm
1985
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
1983
On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006
Chern, Shiing-shen
1983
Real hypersurfaces in complex manifolds. Zbl 0519.32014
Chern, S. S.; Moser, Jürgen K.
1983
Web geometry. Zbl 0483.53013
Chern, Shiing-Shen
1982
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
1982
Projective geometry, contact transformations, and CR-structures. Zbl 0456.53023
Chern, Shiing-shen
1982
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
1981
Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003
Chern, S. S.; Griffiths, P.
1981
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
1981
Remarks on the Riemannian metric of a minimal submanifold. Zbl 0477.53056
Chern, S.-S.; Osserman, R.
1981
A simple proof of Frobenius theorem. Zbl 0481.58007
Chern, Shiing-shen; Wolfson, Jon G.
1981
An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002
Chern, Shing-Shen; Terng, Chuu-Lian
1980
Geometry and physics. Zbl 0455.53052
Chern, Shiing-shen
1980
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004
Chern, Shiing-shen
1979
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
1979
From triangles to manifolds. Zbl 0425.53002
Chern, Shiing-Shen
1979
Affine minimal hypersurfaces. Zbl 0439.53008
Chern, Shiing-Shen
1979
Abel’s theorem and webs. Zbl 0386.14002
Chern, S. S.; Griffiths, Phillip
1978
An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001
Chern, Shiing-Shen; Griffiths, Phillip A.
1978
Selected papers. Vol. 1. Zbl 0403.01012
Chern, Shiing-shen
1978
The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013
1978
Circle bundles. Zbl 0356.55005
Chern, Shiing-shen
1977
Linearization of webs of codimension one and maximum rank. Zbl 0406.14003
Chern, Shiing-shen; Griffiths, Phillip A.
1977
Duality properties of characteristic forms. Zbl 0343.53015
Chern, Shiing-shen; White, James
1976
Real hypersurfaces in complex manifolds. Zbl 0302.32015
Chern, S. S.; Moser, Jürgen K.
1975
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
1975
On the projective structure of a real hypersurface in $$C_{n+1}$$. Zbl 0305.53019
Chern, Shiing-Shen
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
1974
Meromorphic vector fields and characteristic numbers. Zbl 0265.32013
Chern, Shiing-Shen
1973
The mathematical works of Wilhelm Blaschke. Zbl 0264.01021
Chern, Shiing-shen
1973
Geometry of characteristic classes. Zbl 0292.57016
Chern, S. S.
1973
Geometry of characteristic classes. Zbl 0269.57013
Chern, Shiing-shen
1972
Holomorphic curves in the plane. Zbl 0249.32016
Chern, Shiing-Shen
1972
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
1971
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
1971
Brief survey of minimal submanifolds. Zbl 0218.53070
Chern, S.-s.
1971
Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001
Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S.
1970
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
1970
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
1970
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
1970
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, Raoul; Chern, S. S.
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 0204.07601
Chern, S.-S.; Smale, S.
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 0204.07602
Chern, S.-S.; Smale, S.
1970
...and 78 more Documents
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### 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
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### 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. Second Series 63 Journal of Mathematical Physics 63 Inventiones Mathematicae 58 Communications in Mathematical Physics 55 Annali di Matematica Pura ed Applicata. Serie Quarta 53 Annals of Global Analysis and Geometry 50 Journal of Mathematical Analysis and Applications 46 Science China. Mathematics 45 Duke Mathematical Journal 44 Geometriae Dedicata 44 Manuscripta Mathematica 44 Results in Mathematics 43 Kodai Mathematical Journal 40 International Journal of Geometric Methods in Modern Physics 40 Bulletin of the American Mathematical Society 35 International Journal of Mathematics 33 Journal of Mathematical Sciences (New York) 33 Acta Mathematica Sinica. English Series 32 Calculus of Variations and Partial Differential Equations 31 Journal of High Energy Physics 31 Kodai Mathematical Seminar Reports 30 Mathematical Notes 30 Annales de l’Institut Fourier 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Archiv der Mathematik 27 Journal of Differential Equations 27 Bulletin of the American Mathematical Society. New Series 25 Journal of Functional Analysis 23 Nagoya Mathematical Journal 22 Journal of Geometry 20 Israel Journal of Mathematics 20 Journal of Soviet Mathematics 20 Monatshefte für Mathematik 20 Nonlinear Analysis. Real World Applications 19 International Journal of Theoretical Physics 19 Reports on Mathematical Physics 18 Acta Mathematica 18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 18 Acta Applicandae Mathematicae 17 Letters in Mathematical Physics 17 Mathematical Proceedings of the Cambridge Philosophical Society 17 Chinese Annals of Mathematics. Series B 16 Frontiers of Mathematics in China 15 Theoretical and Mathematical Physics 15 Journal für die Reine und Angewandte Mathematik 15 Rendiconti del Circolo Matemàtico di Palermo. Serie II 15 Science in China. Series A 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Compositio Mathematica 14 Topology and its Applications 13 Rocky Mountain Journal of Mathematics 13 Bulletin de la Société Mathématique de France 13 Journal of the American Mathematical Society 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Mediterranean Journal of Mathematics 12 General Relativity and Gravitation 12 Nuclear Physics. B 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Siberian Mathematical Journal 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Acta Mathematica Sinica. New Series 12 Proceedings of the Steklov Institute of Mathematics 11 Classical and Quantum Gravity 11 Physics Letters. B 11 Czechoslovak Mathematical Journal 11 Osaka Journal of Mathematics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Geometry & Topology 11 Journal of the European Mathematical Society (JEMS) 11 European Journal of Mathematics 10 Geometric and Functional Analysis. GAFA 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Applied Mathematics. Series B (English Edition) 10 Russian Journal of Mathematical Physics 10 Complex Analysis and its Synergies 9 Bulletin of the Australian Mathematical Society 9 Balkan Journal of Geometry and its Applications (BJGA) 9 Advances in Geometry 8 Modern Physics Letters A 8 Periodica Mathematica Hungarica 8 Functional Analysis and its Applications 8 Illinois Journal of Mathematics 8 Journal of the Korean Mathematical Society 8 Pacific Journal of Mathematics 8 Annals of Physics 8 Vietnam Journal of Mathematics 8 Journal of Dynamical and Control Systems 8 Communications in Contemporary Mathematics 8 DGDS. Differential Geometry – Dynamical Systems 8 Bulletin of the Brazilian Mathematical Society. New Series 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 333 more Serials
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### Cited in 59 Fields

 2,321 Differential geometry (53-XX) 680 Global analysis, analysis on manifolds (58-XX) 647 Several complex variables and analytic spaces (32-XX) 359 Partial differential equations (35-XX) 359 Manifolds and cell complexes (57-XX) 225 Quantum theory (81-XX) 174 Dynamical systems and ergodic theory (37-XX) 163 Algebraic geometry (14-XX) 160 Relativity and gravitational theory (83-XX) 114 Algebraic topology (55-XX) 99 Calculus of variations and optimal control; optimization (49-XX) 93 Ordinary differential equations (34-XX) 92 Topological groups, Lie groups (22-XX) 85 Functions of a complex variable (30-XX) 73 Mechanics of particles and systems (70-XX) 54 Convex and discrete geometry (52-XX) 49 Nonassociative rings and algebras (17-XX) 37 Functional analysis (46-XX) 37 Geometry (51-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 32 Group theory and generalizations (20-XX) 30 Mechanics of deformable solids (74-XX) 30 Systems theory; control (93-XX) 29 Operator theory (47-XX) 27 Potential theory (31-XX) 26 History and biography (01-XX) 26 Probability theory and stochastic processes (60-XX) 26 Numerical analysis (65-XX) 22 Number theory (11-XX) 20 Computer science (68-XX) 19 $$K$$-theory (19-XX) 19 Fluid mechanics (76-XX) 18 Biology and other natural sciences (92-XX) 16 Real functions (26-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Combinatorics (05-XX) 13 Category theory; homological algebra (18-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Measure and integration (28-XX) 11 Associative rings and algebras (16-XX) 10 Commutative algebra (13-XX) 10 Operations research, mathematical programming (90-XX) 9 General and overarching topics; collections (00-XX) 8 Field theory and polynomials (12-XX) 8 Statistics (62-XX) 8 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 7 General topology (54-XX) 6 Geophysics (86-XX) 5 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Mathematical logic and foundations (03-XX) 3 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 1 Approximations and expansions (41-XX) 1 Astronomy and astrophysics (85-XX)

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