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Chern, Shiing-Shen (b. 1911 d. 2004)

Author ID: chern.shiing-shen Recent zbMATH articles by "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, Shiing S.; Chern, S.-s.
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)
all top 5

Co-Authors

140 single-authored
7 Bao, David
7 Griffiths, Phillip Augustus
7 Shen, Zhongmin
5 Blaschke, Wilhelm
5 Burau, Werner
5 Leichtweiss, Kurt
5 Müller, Hans Robert
5 Santaló, Luis Antonio
5 Strubecker, Karl Georg
4 Cecil, Thomas E.
4 Wolfson, Jon Gordon
3 Bott, Raoul Harry
3 Bryant, Robert L.
3 Cartan, Élie
3 Cheng, Shiu-Yuen
3 Finikov, Sergeĭ Pavlovich
3 Hirzebruch, Friedrich
3 Kobayashi, Shoshichi
3 Osserman, Robert
3 Smale, Stephen
2 Cesari, Lamberto
2 Goldberg, Vladislav V.
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 Arcoumanis, C.
1 Benz, Walter
1 Bliss, Gilbert Ames
1 Boothby, William M.
1 Borel, Armand
1 Bou, D.
1 Burau, W.
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 Goldberg, Samuel I.
1 Goldschmidt, Hubert Leopold
1 Griffith, Phillip A.
1 Grunsky, Helmut
1 Hain, Richard M.
1 Hale-La Salle
1 Hamilton, Richard Streit
1 Hano, J.
1 Hardy, Godfrey Harold
1 Hartman, Philip
1 Henkin, Leon Albert
1 Hersh, Reuben
1 Hopf, Heinz
1 Hsiao, H. C.
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 Moore, Calvin C.
1 Müller, Hans Robert
1 Nirenberg, Louis
1 Olds, C. D.
1 Ossermann, Robert
1 Peng, Chiakuei
1 Rubel, Lee Albert
1 Santalo, L. A.
1 Serre, Jean-Pierre
...and 17 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 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Advances in Mathematics (Beijing)
3 Journal of Mathematics and Mechanics
3 Springer Collected Works in Mathematics
2 International Journal of Modern Physics B
2 American Mathematical Monthly
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 L’Enseignement Mathématique. 2e Série
2 Bollettino della Unione Matematica Italiana. Series II
2 Lecture Notes in Mathematics
2 MAA Studies in Mathematics
2 World Scientific Series in 20th Century Mathematics
2 Nankai Tracts in Mathematics
2 Acta. Pontificia Academia Scientarum
2 Surveys of Modern Mathematics
2 Universitext
1 Modern Physics Letters A
1 Houston Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
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 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 The Asian Journal of Mathematics
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

Publications by Year

Citations contained in zbMATH Open

170 Publications have been cited 5,390 times in 4,495 Documents Cited by Year
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
738
2000
Real hypersurfaces in complex manifolds. Zbl 0302.32015
Chern, S. S.; Moser, Jürgen K.
438
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
330
1974
Exterior differential systems. Zbl 0726.58002
Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A.
278
1991
Minimal submanifolds of a sphere with second fundamental form of constant length. Zbl 0216.44001
Chern, S. S.; do Carmo, Manfredo Perdigão; Kobayashi, S.
274
1970
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
260
2005
A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds. Zbl 0060.38103
Chern, Shiing-Shen
144
1944
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
128
1965
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
111
1999
On the curvatura integra in a Riemannian manifold. Zbl 0060.38104
Chern, Shiing-shen
110
1945
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
101
1983
On the total curvature of immersed manifolds. Zbl 0078.13901
Chern, Shiing-Shen; Lashof, Richard K.
101
1957
Complete minimal surfaces in Euclidean \(n\)-spaces. Zbl 0172.22802
Chern, Shiing-shen; Osserman, R.
83
1967
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
81
1986
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
81
1987
Characteristic classes of Hermitian manifolds. Zbl 0060.41416
Chern, Shiing-Shen
80
1946
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
75
1989
The geometry of \(G\)-structures. Zbl 0136.17804
Chern, Shiing-shen
72
1966
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
71
1996
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004
Chern, Shiing-shen
68
1979
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0052.17601
Chern, Shiing-shen; Kuiper, Nicolaas H.
64
1952
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
60
1971
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
58
1969
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
55
1957
On curvature and characteristic classes of a Riemann manifold. Zbl 0066.17003
Chern, Shiing-Shen
54
1955
An elementary proof of the existence of isothermal parameters on a surface. Zbl 0066.15402
Chern, Shiing-Shen
49
1955
On the total curvature of immersed manifolds. II. Zbl 0095.35803
Chern, Shiing-shen; Lashof, Richard K.
48
1958
Complex manifolds without potential theory. Zbl 0158.33002
Chern, Shiing-shen
47
1967
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
46
1985
On the curvatures of a piece of hypersurface in Euclidean space. Zbl 0147.20901
Chern, Shiing-shen
44
1965
Topics in differential geometry. Zbl 0054.06801
Chern, Shiing-shen
42
1951
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
42
1970
Some new characterizations of the Euclidean sphere. Zbl 0063.00833
Chern, Shiing-Shen
41
1945
An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002
Chern, Shing-Shen; Terng, Chuu-Lian
37
1980
On holomorphic mappings of hermitian manifolds of the same dimension. Zbl 0184.31202
Chern, Shiing-shen
34
1968
On the multiplication in the characteristic ring of a sphere bundle. Zbl 0033.40202
Chern, Shiing-shen
32
1948
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
31
1975
On special \(W\)-surfaces. Zbl 0067.13801
Chern, Shiing-Shen
30
1955
Web geometry. Zbl 0483.53013
Chern, Shiing-Shen
28
1982
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
28
1979
Complex analytical mappings of Riemann surfaces. I. Zbl 0103.30104
Chern, Shiing-shen
28
1960
Abel’s theorem and webs. Zbl 0386.14002
Chern, S. S.; Griffiths, Phillip
27
1978
Pseudo Riemannian geometry and the Gauss-Bonnet formula. Zbl 0113.37001
Chern, Shiing-shen
27
1963
Minimal surfaces in an Euclidean space of \(n\) dimensions. Zbl 0136.16701
Chern, Shiing-shen
27
1965
On the kinematic formula in integral geometry. Zbl 0142.20704
Chern, Shiing-shen
26
1966
A theorem on orientable surfaces in four-dimensional space. Zbl 0043.38403
Chern, Shiing-shen; Spanier, Edwin H.
24
1951
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
23
1996
Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature. Zbl 0168.19505
Chern, Shiing-shen
23
1967
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
22
1985
On the kinematic formula in the Euclidean space of \(n\) dimensions. Zbl 0046.16101
Chern, Shiing-Shen
21
1952
Pseudogroupes continus infinis. Zbl 0053.01604
Chern, Shiing-Shen
21
1953
On a generalization of Kaehler geometry. Zbl 0078.14103
Chern, Shiing-shen
20
1957
Studies in global geometry and analysis. Zbl 0175.48102
20
1967
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
19
1993
Integral formulas for hypersurfaces in Euclidean space and their applications to uniqueness theorems. Zbl 0090.12802
Chern, Shiing-shen
19
1959
Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603
Chern, Shiing-shen
19
1969
On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019
Chern, Shiing-Shen
18
1975
The integrated form of the first main theorem for complex analytic mappings in several complex variables. Zbl 0142.04802
Chern, Shiing-shen
17
1960
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
16
1989
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
16
2004
Local equivalence and Euclidean connections in Finsler spaces. Zbl 0200.00004
Chern, Shiing-shen
16
1948
Topologische Fragen der Differentialgeometrie. LXII. Eine Invariantentheorie der Dreigewebe aus \(r\)-dimensionalen Mannigfaltigkeiten im \(\mathbb{R}_{2r}\). Zbl 0013.41802
Chern, Shiing-Shen
16
1936
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
15
1987
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
15
2001
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0049.23402
Chern, Shiing-shen; Kuiper, Nicolaas H.
15
1952
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
15
1970
On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006
Chern, Shiing-shen
14
1983
Differentiable manifolds. Zbl 0099.37402
Chern, Shiing-shen
13
1959
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
12
2001
Affine minimal hypersurfaces. Zbl 0439.53008
Chern, Shiing-Shen
12
1979
The geometry of the differential equation \(y'''=f(x,y,y',y'')\). Zbl 0024.19801
Chern, Shiing-Shen
12
1940
Élie Cartan and his mathematical work. Zbl 0046.00304
Chern, Shiing-shen; Chevalley, Claude
12
1952
On the characteristic classes of complex sphere bundles and algebraic varieties. Zbl 0051.14301
Chern, Shiing-shen
12
1953
On the Riemann mapping theorem. Zbl 0872.32016
Chern, Shiing-Shen; Ji, Shanyu
11
1996
Sur la géométrie d’une équation différentielle du troisieme ordre. Zbl 0016.16401
Chern, Shiing-shen
11
1937
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
11
1971
Differential geometry of fiber bundles. Zbl 0049.24201
Chern, Shiing-shen
11
1952
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
10
1981
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
10
1989
An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001
Chern, Shiing-Shen; Griffiths, Phillip A.
10
1978
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
9
1982
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
9
1995
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
9
1981
Sur la géométrie d’un système d’équations différentielles du second ordre. Zbl 0023.07701
Chern, Shiing-Shen
9
1939
Some new viewpoints in differential geometry in the large. Zbl 0063.00834
Chern, Shiing-Shen
9
1946
Scientific report on the Second Summer Institute. Several complex variables. Part II: Complex manifolds. Zbl 0074.30301
Chern, Shiing-shen
9
1956
Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051
Chern, Shiing-shen
8
1996
Global differential geometry. 2nd ed. Zbl 0683.53001
8
1989
On the Euclidean connections in a Finsler space. Zbl 0060.39210
Chern, Shiing-shen
8
1943
On isothermic coordinates. Zbl 0056.40206
Chern, Shiing-shen; Hartman, Philip; Wintner, Aurel
8
1954
Meromorphic vector fields and characteristic numbers. Zbl 0265.32013
Chern, Shiing-Shen
7
1973
Circle bundles. Zbl 0356.55005
Chern, Shiing-shen
7
1977
On integral geometry in Klein spaces. Zbl 0147.22303
Chern, Shiing-shen
7
1942
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
7
1970
On the characteristic classes of Riemannian manifolds. Zbl 0034.25002
Chern, Shiing-Shen
7
1947
La géométrie des sous-variétés d’un espace euclidean à plusieurs dimensions. Zbl 0064.17504
Chern, Shiing-Shen
7
1955
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
6
1996
Selected papers. Vol. 1. Zbl 0403.01012
Chern, Shiing-shen
6
1978
From triangles to manifolds. Zbl 0425.53002
Chern, Shiing-Shen
6
1979
Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003
Chern, S. S.; Griffiths, P.
6
1981
Selected papers I. Reprint of the 1978 edition. Zbl 1278.01030
Chern, Shiing-Shen
1
2013
Finite-size scaling of the correlation length in anisotropic systems. Zbl 1142.82333
Chen, X. S.; Zhang, H. Y.
2
2007
Chern’s work in geometry. Zbl 1125.53001
Yau, Shing-Tung
4
2006
My mathematical education. Zbl 1098.01512
Chern, Shiing-Shen
1
2006
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
260
2005
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
16
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
15
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
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 1016.53002
Cartan, Élie
3
2001
Wolf prize in mathematics. Vol. 2. Zbl 1030.01001
2
2001
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
738
2000
Wolf prize in mathematics. Vol. 1. Zbl 0972.01032
2
2000
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
111
1999
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
4
1997
Tight and taut submanifolds. Based on the workshop on differential systems, submanifolds and control theory, Berkeley, CA, USA, March 1-4, 1994. Zbl 0883.00009
1
1997
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
71
1996
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
23
1996
On the Riemann mapping theorem. Zbl 0872.32016
Chern, Shiing-Shen; Ji, Shanyu
11
1996
Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051
Chern, Shiing-shen
8
1996
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
6
1996
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
4
1996
Finsler geometry over the reals. Zbl 0854.53023
Bao, D.; Chern, S. S.; Shen, Z.
3
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.
2
1996
The mathematics of China. Zbl 0872.01040
Chern, 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 1101.32301
Chern, Shiing-Shen
9
1995
Projective geometry and Riemann’s mapping problem. Zbl 0843.32013
Chern, Shiing-Shen; Ji, Shanyu
5
1995
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
19
1993
On Finsler geometry. Zbl 0755.53044
Chern, Shiing-Shen
3
1992
Exterior differential systems. Zbl 0726.58002
Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A.
278
1991
Surface theory with Darboux and Bianchi. Zbl 0734.53008
Chern, Shiing-Shen
2
1991
Transgression in associated bundles. Zbl 0768.53014
Chern, Shiing-Shen
1
1991
What is geometry? Zbl 0717.51002
Chern, Shiing-Shen
4
1990
Historical remarks on Gauss-Bonnet. Zbl 0701.53039
Chern, Shing-Shen
2
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
75
1989
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
16
1989
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
10
1989
Global differential geometry. 2nd ed. Zbl 0683.53001
8
1989
Selected papers. Volume II-IV. Zbl 0682.01017
Chern, Shiing-Shen
2
1989
Vector bundles with a connection. Zbl 0683.53026
Chern, S. S.
1
1989
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
81
1987
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
15
1987
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
81
1986
Proceedings of the 1983 Beijing symposium on differential geometry and differential equations. With advice from S. S. Chern. Zbl 0632.00008
5
1986
On a conformal invariant of three-dimensional manifolds. Zbl 0589.53011
Chern, Shiing-shen
3
1986
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
46
1985
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
22
1985
Harmonic maps of \(S^ 2\) into a complex Grassmann manifold. Zbl 0601.58023
Chern, Shiing Shen; Wolfson, Jon
4
1985
Moving frames. Zbl 0614.53038
Chern, Shiingshen
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 0656.53002
Blaschke, 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 0655.52001
Blaschke, Wilhelm
2
1985
Seminar on nonlinear partial differential equations. Zbl 0542.00009
2
1984
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
101
1983
On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006
Chern, Shiing-shen
14
1983
Real hypersurfaces in complex manifolds. Zbl 0519.32014
Chern, S. S.; Moser, Jürgen K.
4
1983
Web geometry. Zbl 0483.53013
Chern, Shiing-Shen
28
1982
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
9
1982
Proceedings of the 1980 Beijing Symposium of Differential geometry and differential equations. Vols. 1, 2, 3. Zbl 0509.00015
2
1982
Projective geometry, contact transformations, and CR-structures. Zbl 0456.53023
Chern, Shiing-shen
2
1982
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
10
1981
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
9
1981
Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003
Chern, S. S.; Griffiths, P.
6
1981
Remarks on the Riemannian metric of a minimal submanifold. Zbl 0477.53056
Chern, S.-S.; Osserman, R.
5
1981
A simple proof of Frobenius theorem. Zbl 0481.58007
Chern, Shiing-shen; Wolfson, Jon G.
1
1981
An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002
Chern, Shing-Shen; Terng, Chuu-Lian
37
1980
Geometry and physics. Zbl 0455.53052
Chern, Shiing-shen
1
1980
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004
Chern, Shiing-shen
68
1979
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
28
1979
Affine minimal hypersurfaces. Zbl 0439.53008
Chern, Shiing-Shen
12
1979
From triangles to manifolds. Zbl 0425.53002
Chern, Shiing-Shen
6
1979
Abel’s theorem and webs. Zbl 0386.14002
Chern, S. S.; Griffiths, Phillip
27
1978
An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001
Chern, Shiing-Shen; Griffiths, Phillip A.
10
1978
Selected papers. Vol. 1. Zbl 0403.01012
Chern, Shiing-shen
6
1978
The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013
4
1978
Circle bundles. Zbl 0356.55005
Chern, Shiing-shen
7
1977
Linearization of webs of codimension one and maximum rank. Zbl 0406.14003
Chern, Shiing-shen; Griffiths, Phillip A.
1
1977
Duality properties of characteristic forms. Zbl 0343.53015
Chern, Shiing-shen; White, James
1
1976
Real hypersurfaces in complex manifolds. Zbl 0302.32015
Chern, S. S.; Moser, Jürgen K.
438
1975
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
31
1975
On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019
Chern, Shiing-Shen
18
1975
Differential geometry. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973. Zbl 0304.00009
2
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
330
1974
Meromorphic vector fields and characteristic numbers. Zbl 0265.32013
Chern, Shiing-Shen
7
1973
The mathematical works of Wilhelm Blaschke. Zbl 0264.01021
Chern, Shiing-shen
2
1973
Geometry of characteristic classes. Zbl 0292.57016
Chern, S. S.
1
1973
Geometry of characteristic classes. Zbl 0269.57013
Chern, Shiing-shen
5
1972
Holomorphic curves in the plane. Zbl 0249.32016
Chern, Shiing-Shen
3
1972
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
60
1971
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
11
1971
Brief survey of minimal submanifolds. Zbl 0218.53070
Chern, Shiing-shen
3
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.
274
1970
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
42
1970
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
15
1970
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
7
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.
2
1970
Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Zbl 0208.35101
Bott, 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 0204.07601
Chern, S.-S.; Smale, S.
1
1970
Holomorphic curves and minimal surfaces. Zbl 0222.53005
Chern, Shiing-Shen
1
1970
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
58
1969
Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603
Chern, Shiing-shen
19
1969
On holomorphic mappings of hermitian manifolds of the same dimension. Zbl 0184.31202
Chern, Shiing-shen
34
1968
...and 70 more Documents
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Cited by 3,985 Authors

30 Jiao, Xiaoxiang
29 Xu, Hongwei
28 Morozov, Alexei Yurievich
26 Deng, Shaoqiang
26 Mo, Xiaohuan
26 Xu, Ming
23 Mironov, Andrei D.
22 Tenenblat, Keti
21 Loboda, Aleksandr Vasil’evich
20 Beloshapka, Valeriĭ K.
20 Bidabad, Behroz
20 Huang, Xiaojun
20 Merker, Joël
19 Chen, Bang-Yen
19 Cheng, Xinyue
18 Bracken, Paul Francis
18 Lamel, Bernhard
18 Shanker, Gauree
18 Shen, Yibing
18 Zhong, Chunping
17 Fei, Jie
17 Gilkey, Peter B.
17 Li, Haizhong
17 Li, Jiayu
17 Musso, Emilio
16 Ebenfelt, Peter
16 Ezhov, Vladimir Vladimirovich
16 Kristály, Alexandru
16 Otsuki, Tominosuke
16 Schmalz, Gerd
16 Wang, Jun
16 Zaitsev, Dmitri
15 Javaloyes, Miguel Angel
15 Kolář, Martin
15 Kossovskiy, Il’ya Grigor’evich
15 Morozov, Andreĭ Alekseevich
15 Ohta, Shin-ichi
15 Perrone, Domenico
15 Sabau, Sorin Vasile
15 Salimi Moghaddam, Hamid Reza
15 Shen, Zhongmin
14 Aldea, Nicoleta
14 Forstnerič, Franc
14 Huang, Libing
14 Kruglikov, Boris S.
13 Bismut, Jean-Michel
13 Chern, Shiing-Shen
13 Griffiths, Phillip Augustus
13 Lin, Chang-Shou
13 Matveev, Vladimir S.
13 Tayebi, Akbar
13 Xu, Xiaowei
12 Chen, Guangzu
12 Gallego Torromé, Ricardo
12 Latifi, Dariush
12 Nicolodi, Lorenzo
12 Wu, Bingye
12 Xia, Qiaoling
12 Zhao, Wei
11 Alías, Luis J.
11 Bryant, Robert L.
11 Caponio, Erasmo
11 Han, Xiaoli
11 Isaev, Alexander
11 Kopacz, Piotr
11 Meylan, Francine
11 Prástaro, Agostino
11 Qiu, Chunhui
11 Vincze, Csaba
11 Vlachos, Theodoros
11 Yan, Zaili
10 Alesker, Semyon
10 Baouendi, Mohammed Salah
10 Braga Brito, Fabiano Gustavo
10 Burns, Daniel M. jun.
10 He, Qun
10 Hu, Zejun
10 Ji, Shanyu
10 Muzsnay, Zoltán
10 Sánchez Caja, Miguel
10 Simon, Udo
10 Tiwari, Bankteshwar
10 Yau, Shing-Tung
9 Angella, Daniele
9 Hsiang, Wu-Yi
9 Kaur, Kirandeep
9 Minguzzi, Ettore
9 Peyghan, Esmaeil
9 Romero, Alfonso
9 Rothschild, Linda Preiss
9 Xia, Changyu
9 Yano, Kentaro
9 Yin, Songting
8 Asanov, Gennadii S.
8 Bedford, Eric
8 Bucataru, Joan
8 Cheng, Jih-Hsin
8 Clelland, Jeanne Nielsen
8 Duan, Yishi
8 Elgendi, Salah Gomaa
...and 3,885 more Authors
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Cited in 490 Serials

188 Differential Geometry and its Applications
149 Journal of Geometry and Physics
132 Transactions of the American Mathematical Society
126 The Journal of Geometric Analysis
116 Mathematische Annalen
115 Proceedings of the American Mathematical Society
112 Advances in Mathematics
107 Mathematische Zeitschrift
73 Journal of Mathematical Physics
73 Tôhoku Mathematical Journal. Second Series
71 Annali di Matematica Pura ed Applicata. Serie Quarta
66 Inventiones Mathematicae
61 International Journal of Geometric Methods in Modern Physics
60 Journal of Mathematical Analysis and Applications
59 Communications in Mathematical Physics
55 Annals of Global Analysis and Geometry
54 Science China. Mathematics
52 Results in Mathematics
50 Manuscripta Mathematica
48 Geometriae Dedicata
45 Duke Mathematical Journal
45 International Journal of Mathematics
45 Journal of High Energy Physics
44 Kodai Mathematical Journal
40 Journal of Mathematical Sciences (New York)
40 Bulletin of the American Mathematical Society
36 Calculus of Variations and Partial Differential Equations
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Acta Mathematica Sinica. English Series
34 Journal of Differential Equations
33 Nuclear Physics. B
31 Kodai Mathematical Seminar Reports
30 Mathematical Notes
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Reports on Mathematical Physics
29 Annales de l’Institut Fourier
28 Archiv der Mathematik
27 Journal of Functional Analysis
27 Bulletin of the American Mathematical Society. New Series
24 Journal of Geometry
23 Classical and Quantum Gravity
23 Physics Letters. B
23 Nagoya Mathematical Journal
23 Annals of Physics
23 Journal of Finsler Geometry and its Applications
22 Israel Journal of Mathematics
21 International Journal of Theoretical Physics
21 Monatshefte für Mathematik
21 Chinese Annals of Mathematics. Series B
20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
20 Journal of Soviet Mathematics
18 Letters in Mathematical Physics
18 Acta Mathematica
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Acta Applicandae Mathematicae
17 Science in China. Series A
17 Frontiers of Mathematics in China
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Theoretical and Mathematical Physics
16 Journal für die Reine und Angewandte Mathematik
16 Mediterranean Journal of Mathematics
15 Bulletin de la Société Mathématique de France
15 Rendiconti del Circolo Matemàtico di Palermo. Serie II
15 Topology and its Applications
14 Rocky Mountain Journal of Mathematics
14 Compositio Mathematica
14 Mathematische Nachrichten
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Nonlinear Analysis. Real World Applications
13 General Relativity and Gravitation
13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
13 Osaka Journal of Mathematics
13 Journal of the American Mathematical Society
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 Russian Journal of Mathematical Physics
13 Journal of the European Mathematical Society (JEMS)
12 Periodica Mathematica Hungarica
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Czechoslovak Mathematical Journal
12 Siberian Mathematical Journal
12 Bulletin of the Korean Mathematical Society
12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
12 Acta Mathematica Sinica. New Series
12 Advances in Geometry
12 Acta Mathematica Scientia. Series B. (English Edition)
12 Proceedings of the Steklov Institute of Mathematics
12 Journal of Physics A: Mathematical and Theoretical
12 Complex Analysis and its Synergies
12 European Journal of Mathematics
11 Geometric and Functional Analysis. GAFA
11 Geometry & Topology
11 Communications in Contemporary Mathematics
11 DGDS. Differential Geometry – Dynamical Systems
10 Bulletin of the Australian Mathematical Society
10 Chaos, Solitons and Fractals
10 Journal of the Korean Mathematical Society
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Applied Mathematics. Series B (English Edition)
10 Balkan Journal of Geometry and its Applications (BJGA)
10 Journal of Dynamical and Control Systems
...and 390 more Serials
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Cited in 60 Fields

2,773 Differential geometry (53-XX)
809 Global analysis, analysis on manifolds (58-XX)
747 Several complex variables and analytic spaces (32-XX)
439 Partial differential equations (35-XX)
400 Manifolds and cell complexes (57-XX)
313 Quantum theory (81-XX)
226 Relativity and gravitational theory (83-XX)
218 Dynamical systems and ergodic theory (37-XX)
197 Algebraic geometry (14-XX)
133 Algebraic topology (55-XX)
124 Calculus of variations and optimal control; optimization (49-XX)
116 Topological groups, Lie groups (22-XX)
101 Functions of a complex variable (30-XX)
98 Mechanics of particles and systems (70-XX)
81 Ordinary differential equations (34-XX)
70 Convex and discrete geometry (52-XX)
63 Nonassociative rings and algebras (17-XX)
45 Geometry (51-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
44 Functional analysis (46-XX)
42 Group theory and generalizations (20-XX)
38 Mechanics of deformable solids (74-XX)
38 Systems theory; control (93-XX)
35 Operator theory (47-XX)
33 Potential theory (31-XX)
31 History and biography (01-XX)
30 Computer science (68-XX)
29 Probability theory and stochastic processes (60-XX)
29 Numerical analysis (65-XX)
27 Number theory (11-XX)
25 Fluid mechanics (76-XX)
22 \(K\)-theory (19-XX)
18 Real functions (26-XX)
17 Measure and integration (28-XX)
17 Optics, electromagnetic theory (78-XX)
16 Combinatorics (05-XX)
15 Category theory; homological algebra (18-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Associative rings and algebras (16-XX)
12 Commutative algebra (13-XX)
12 General topology (54-XX)
12 Statistical mechanics, structure of matter (82-XX)
12 Biology and other natural sciences (92-XX)
12 Information and communication theory, circuits (94-XX)
10 General and overarching topics; collections (00-XX)
9 Geophysics (86-XX)
8 Field theory and polynomials (12-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Special functions (33-XX)
7 Classical thermodynamics, heat transfer (80-XX)
7 Astronomy and astrophysics (85-XX)
6 Difference and functional equations (39-XX)
6 Integral transforms, operational calculus (44-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
3 Mathematical logic and foundations (03-XX)
3 Abstract harmonic analysis (43-XX)
2 General algebraic systems (08-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)

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