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Chern, Shiing-Shen

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Author ID: chern.shiing-shen Recent zbMATH articles by "Chern, Shiing-Shen"
Published as: Chen, X.; Chen, X. S.; Chen, X.-S.; Chern, S. -S.; Chern, S. S.; Chern, S.-S.; Chern, S.-s.; Chern, Shiing S.; Chern, Shiing Shen; Chern, Shiing-Shen; Chern, Shiing-shen; Chern, Shiingshen; Chern, Shing-Shen
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Wolf Prize (1984) · Shaw Prize (2004)
Documents Indexed: 257 Publications since 1935, including 40 Books
Biographic References: 30 Publications
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
3 Journal of Mathematics and Mechanics
3 Springer Collected Works in Mathematics
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 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 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
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 Lecture Notes 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

178 Publications have been cited 4,381 times in 3,692 Documents Cited by Year
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
510
2000
Real hypersurfaces in complex manifolds. Zbl 0302.32015
Chern, S. S.; Moser, Jürgen K.
364
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
249
1974
Exterior differential systems. Zbl 0726.58002
Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A.
212
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.
209
1970
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
134
2005
A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds. Zbl 0060.38103
Chern, Shiing-Shen
107
1944
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
101
2010
On the total curvature of immersed manifolds. Zbl 0078.13901
Chern, Shiing-Shen; Lashof, Richard K.
99
1957
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section. Zbl 0148.31906
Bott, Raoul; Chern, Shiing-shen
98
1965
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
83
1983
On the curvatura integra in a Riemannian manifold. Zbl 0060.38104
Chern, Shiing-shen
79
1945
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
69
1999
Characteristic classes of Hermitian manifolds. Zbl 0060.41416
Chern, Shiing-Shen
69
1946
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
65
1987
Complete minimal surfaces in Euclidean \(n\)-spaces. Zbl 0172.22802
Chern, Shiing-shen; Osserman, R.
65
1967
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0052.17601
Chern, Shiing-shen; Kuiper, Nicolaas H.
64
1952
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
63
1986
The geometry of \(G\)-structures. Zbl 0136.17804
Chern, Shiing-shen
60
1966
Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed. Zbl 0444.32004
Chern, Shiing-shen
58
1979
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
47
1969
Complex manifolds without potential theory. Zbl 0158.33002
Chern, Shiing-shen
46
1967
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
45
1971
On the total curvature of immersed manifolds. II. Zbl 0095.35803
Chern, Shiing-shen; Lashof, Richard K.
44
1958
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
43
1957
On curvature and characteristic classes of a Riemann manifold. Zbl 0066.17003
Chern, Shiing-Shen
43
1955
Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362
Chen, X.; Hutchinson, John W.
38
2004
Topics in differential geometry. Zbl 0054.06801
Chern, Shiing-shen
38
1951
On the curvatures of a piece of hypersurface in Euclidean space. Zbl 0147.20901
Chern, Shiing-shen
36
1965
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
35
1996
Some new characterizations of the Euclidean sphere. Zbl 0063.00833
Chern, Shiing-Shen
35
1945
An analogue of Bäcklund’s theorem in affine geometry. Zbl 0407.53002
Chern, Shing-Shen; Terng, Chuu-Lian
34
1980
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
33
1985
An elementary proof of the existence of isothermal parameters on a surface. Zbl 0066.15402
Chern, Shiing-Shen
33
1955
On the multiplication in the characteristic ring of a sphere bundle. Zbl 0033.40202
Chern, Shiing-shen
30
1948
Abel’s theorem and webs. Zbl 0386.14002
Chern, S. S.; Griffiths, Phillip
27
1978
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
25
1975
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
24
1970
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
23
1979
On the kinematic formula in integral geometry. Zbl 0142.20704
Chern, Shiing-shen
23
1966
Pseudo Riemannian geometry and the Gauss-Bonnet formula. Zbl 0113.37001
Chern, Shiing-shen
23
1963
Complex analytical mappings of Riemann surfaces. I. Zbl 0103.30104
Chern, Shiing-shen
23
1960
Web geometry. Zbl 0483.53013
Chern, Shiing-Shen
22
1982
On special \(W\)-surfaces. Zbl 0067.13801
Chern, Shiing-Shen
22
1955
A theorem on orientable surfaces in four-dimensional space. Zbl 0043.38403
Chern, Shiing-shen; Spanier, Edwin H.
22
1951
Sur la géométrie d’un système d’équations différentielles du second ordre. JFM 65.1419.01
Chern, S. -S.
22
1939
On the kinematic formula in the Euclidean space of \(n\) dimensions. Zbl 0046.16101
Chern, Shiing-Shen
20
1952
The geometry of the differential equation \(y''' = F(x, y, y', y'')\). JFM 66.0879.02
Chern, S. S.
20
1940
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
19
1996
Topologische Fragen der Differentialgeometrie. LXII. Eine Invariantentheorie der Dreigewebe aus \(r\)-dimensionalen Mannigfaltigkeiten im \(\mathbb{R}_{2r}\). Zbl 0013.41802
Chern, Shiing-Shen
18
1936
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
Bao, David (ed.); Bryant, Robert L. (ed.); Chern, Shiing-Shen (ed.); Shen, Zhongmin (ed.)
17
2004
Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature. Zbl 0168.19505
Chern, Shiing-shen
17
1967
The integrated form of the first main theorem for complex analytic mappings in several complex variables. Zbl 0142.04802
Chern, Shiing-shen
17
1960
Sur la géométrie d’un système d’équations différentielles du second ordre. Zbl 0023.07701
Chern, Shiing-Shen
17
1939
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
16
1993
Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603
Chern, Shiing-shen
16
1969
On a generalization of Kaehler geometry. Zbl 0078.14103
Chern, Shiing-shen
16
1957
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
15
2006
On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019
Chern, Shiing-Shen
15
1975
Integral formulas for hypersurfaces in Euclidean space and their applications to uniqueness theorems. Zbl 0090.12802
Chern, Shiing-shen
15
1959
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
14
1989
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
14
1987
Pseudogroupes continus infinis. Zbl 0053.01604
Chern, Shiing-Shen
14
1953
The geometry of the differential equation \(y'''=f(x,y,y',y'')\). Zbl 0024.19801
Chern, Shiing-Shen
14
1940
On holomorphic mappings of hermitian manifolds of the same dimension. Zbl 0184.31202
Chern, Shiing-shen
13
1968
Minimal surfaces in an Euclidean space of \(n\) dimensions. Zbl 0136.16701
Chern, Shiing-shen
12
1965
Scientific report on the Second Summer Institute. Several complex variables. Part II: Complex manifolds. Zbl 0074.30301
Chern, Shiing-shen
12
1956
Élie Cartan and his mathematical work. Zbl 0046.00304
Chern, Shiing-shen; Chevalley, Claude
12
1952
On integral geometry in Klein spaces. JFM 68.0462.02
Chern, S. S.
12
1942
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008
Zhang, W. X.; Wang, T. J.; Chen, X.
11
2010
On the Riemann mapping theorem. Zbl 0872.32016
Chern, Shiing-Shen; Ji, Shanyu
11
1996
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
11
1985
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
11
1982
Differentiable manifolds. Zbl 0099.37402
Chern, Shiing-shen
11
1959
On the characteristic classes of complex sphere bundles and algebraic varieties. Zbl 0051.14301
Chern, Shiing-shen
11
1953
Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space. Zbl 0049.23402
Chern, Shiing-shen; Kuiper, Nicolaas H.
11
1952
An inequality for the rank of a web and webs of maximum rank. Zbl 0402.57001
Chern, Shiing-Shen; Griffiths, Phillip A.
10
1978
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
10
1971
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
10
1970
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
9
1989
Some new viewpoints in differential geometry in the large. Zbl 0063.00834
Chern, Shiing-Shen
9
1946
Riemannian geometry as a special case of Finsler geometry. Zbl 0868.53051
Chern, Shiing-shen
8
1996
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
8
1970
On isothermic coordinates. Zbl 0056.40206
Chern, Shiing-shen; Hartman, Philip; Wintner, Aurel
8
1954
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
7
1997
Meromorphic vector fields and characteristic numbers. Zbl 0265.32013
Chern, Shiing-Shen
7
1973
Studies in global geometry and analysis. Zbl 0175.48102
Chern, Shiing-shen
7
1967
On the Euclidean connections in a Finsler space. Zbl 0060.39210
Chern, Shiing-shen
7
1943
On integral geometry in Klein spaces. Zbl 0147.22303
Chern, Shiing-shen
7
1942
Topological questions of differential geometry. LX: Enumerations of webs. Zbl 0011.13202
Chern, Shiing-Shen
7
1935
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
6
1995
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
6
1981
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
6
1981
On the isometry of compact submanifolds in Euclidean space. Zbl 0124.37501
Chern, Shiing-shen; Hsiung, C.
6
1963
La géométrie des sous-variétés d’un espace euclidean à plusieurs dimensions. Zbl 0064.17504
Chern, Shiing-Shen
6
1955
Local equivalence and Euclidean connections in Finsler spaces. Zbl 0200.00004
Chern, Shiing-shen
6
1948
On the characteristic classes of Riemannian manifolds. Zbl 0034.25002
Chern, Shiing-Shen
6
1947
Laplace transforms of a class of higher dimensional varieties in a projective space of \(n\) dimensions. Zbl 0063.00831
Chern, Shiing-shen
6
1944
Sur la géométrie d’une équation différentielle du troisieme ordre. Zbl 0016.16401
Chern, Shiing-shen
6
1937
Topologische Fragen der Differentialgeometrie. LXII: Eine Invariantentheorie der Dreigewebe aus \(r\)-dimensionalen Mannigfaltigkeiten im \(R_{2r}\). JFM 62.0829.03
Chern, S. -S.
6
1936
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
101
2010
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008
Zhang, W. X.; Wang, T. J.; Chen, X.
11
2010
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
2
2009
Determining plastic properties of a material with residual stress by using conical indentation. Zbl 1178.74072
Yan, Jin; Karlsson, A. M.; Chen, X.
5
2007
Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. Zbl 1173.74405
Chen, X.; Phoon, K. K.; Toh, K. C.
3
2007
Finite-size scaling of the correlation length in anisotropic systems. Zbl 1142.82333
Chen, X. S.; Zhang, H. Y.
1
2007
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
15
2006
A novel DCT-based algorithm for computing the modulated complex lapped transform. Zbl 1374.94695
Chen, X.; Dai, Q.
2
2006
On multiscale significance of Rice’s normality structure. Zbl 1192.74009
Yang, Q.; Chen, X.; Zhou, W. Y.
2
2006
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
134
2005
Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362
Chen, X.; Hutchinson, John W.
38
2004
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
Bao, David (ed.); Bryant, Robert L. (ed.); Chern, Shiing-Shen (ed.); Shen, Zhongmin (ed.)
17
2004
Modeling of ratcheting behavior under multiaxial cyclic loading. Zbl 1064.74518
Chen, X.; Kim, K. S.
4
2003
The effects of thin and ultrathin liquid films on dynamic wetting. Zbl 1186.76101
Chen, X.; Ramé, E.; Garoff, S.
2
2003
Wolf prize in mathematics. Vol. 2. Zbl 1030.01001
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2001
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
510
2000
Wolf prize in mathematics. Vol. 1. Zbl 0972.01032
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2000
Lectures on differential geometry. Zbl 0940.53001
Chern, S. S.; Chen, W. H.; Lam, K. S.
69
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.
1
1999
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
7
1997
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
2
1997
Finsler geometry is just Riemannian geometry without the quadratic restriction. Zbl 1044.53512
Chern, Shiing-Shen
35
1996
A note on the Gauss-Bonnet theorem for Finsler spaces. Zbl 0849.53046
Bao, David; Chern, S. S.
19
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
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
4
1996
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
Bao, David (ed.); Chern, Shiing-Shen (ed.); Shen, Zhongmin (ed.)
4
1996
Finsler geometry over the reals. Zbl 0854.53023
Bao, D.; Chern, S. S.; Shen, Z.
3
1996
Blank development and the prediction of earing in cup drawing. Zbl 0843.73035
Chen, X.; Sowerby, R.
3
1996
The mathematics of China. Zbl 0872.01040
Chern, 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 0924.01033
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
6
1995
Projective geometry and Riemann’s mapping problem. Zbl 0843.32013
Chern, Shiing-Shen; Ji, Shanyu
5
1995
Analysis of arbitrary Mindlin plates or bridge decks by spline finite strip method. Zbl 0877.73078
Ng, S. F.; Chen, X.
1
1995
Effect of frictional force and nose shape on axisymmetric deformations of a thick thermoviscoplastic target. Zbl 0848.73017
Batra, R. C.; Chen, X.
1
1994
On a notable connection in Finsler geometry. Zbl 0787.53018
Bao, David; Chern, S. S.
16
1993
Effect of frictional force on the steady state axisymmetric deformations of a viscoplastic target. Zbl 0825.73636
Chen, X.; Batra, R. C.
1
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.
212
1991
Surface theory with Darboux and Bianchi. Zbl 0734.53008
Chern, Shiing-Shen
2
1991
What is geometry? Zbl 0717.51002
Chern, Shiing-Shen
2
1990
Historical remarks on Gauss-Bonnet. Zbl 0701.53039
Chern, Shing-Shen
1
1990
Dupin submanifolds in Lie sphere geometry. Zbl 0678.53003
Cecil, Thomas E.; Chern, Shiing-Shen
14
1989
Curves and surfaces in Euclidean space. Zbl 0683.53002
Chern, S. S.
9
1989
Global differential geometry. 2nd ed. Zbl 0683.53001
Chern, S. S. (ed.)
5
1989
Vector bundles with a connection. Zbl 0683.53026
Chern, S. S.
1
1989
Selected papers. Volume II-IV. Zbl 0682.01017
Chern, Shiing-Shen
1
1989
Harmonic maps of the two-sphere into a complex Grassmann manifold. II. Zbl 0627.58017
Chern, Shiing-Shen; Wolfson, Jon G.
65
1987
Tautness and Lie sphere geometry. Zbl 0635.53029
Cecil, Thomas E.; Chern, Shiing-Shen
14
1987
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
63
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.
33
1985
Deformation of surfaces preserving principal curvatures. Zbl 0566.53002
Chern, Shiing-shen
11
1985
Harmonic maps of \(S^ 2\) into a complex Grassmann manifold. Zbl 0601.58023
Chern, Shiing Shen; Wolfson, Jon
4
1985
Minimal surfaces by moving frames. Zbl 0521.53050
Chern, Shiing-shen; Wolfson, Jon Gordon
83
1983
On surfaces of constant mean curvature in a three-dimensional space of constant curvature. Zbl 0521.53006
Chern, Shiing-shen
5
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
22
1982
Exterior differential systems. Zbl 0516.58003
Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.
11
1982
Projective geometry, contact transformations, and CR-structures. Zbl 0456.53023
Chern, Shiing-shen
2
1982
Proceedings of the 1980 Beijing Symposium of Differential geometry and differential equations. Vols. 1, 2, 3. Zbl 0509.00015
Chern, S. S. (ed.); Wu, Wen-tsün (ed.)
1
1982
Geometrical interpretation of the sinh-Gordon equation. Zbl 0497.53056
Chern, Shiing-Shen
6
1981
Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations. Zbl 0483.53019
Chern, Shiing-Shen; Tenenblat, Keti
6
1981
Corrections and addenda to our paper: Abel’s theorem and webs. Zbl 0474.14003
Chern, S. S.; Griffiths, P.
5
1981
Remarks on the Riemannian metric of a minimal submanifold. Zbl 0477.53056
Chern, S.-S.; Osserman, R.
4
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
34
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
58
1979
Lie groups and KdV equations. Zbl 0408.35074
Chern, Shiing-shen; Peng, Chia-kuei
23
1979
Affine minimal hypersurfaces. Zbl 0439.53008
Chern, Shiing-Shen
4
1979
From triangles to manifolds. Zbl 0425.53002
Chern, Shiing-Shen
4
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
3
1978
Circle bundles. Zbl 0356.55005
Chern, Shiing-shen
3
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.
364
1975
On the volume decreasing property of a class of real harmonic mappings. Zbl 0303.53049
Chern, Shiing-shen; Goldberg, Samuel I.
25
1975
On the projective structure of a real hypersurface in \(C_{n+1}\). Zbl 0305.53019
Chern, Shiing-Shen
15
1975
Characteristic forms and geometric invariants. Zbl 0283.53036
Chern, Shiing-shen; Simons, James
249
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
4
1972
Holomorphic curves in the plane. Zbl 0249.32016
Chern, Shiing-Shen
2
1972
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry. Zbl 0209.25401
Chern, S. S.; Simons, J.
45
1971
Differential geometry; its past and its future. Zbl 0232.53001
Chern, Shiing-shen
10
1971
Brief survey of minimal submanifolds. Zbl 0218.53070
Chern, S.-s.
2
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.
209
1970
On the minimal immersions of the two-sphere in a space of constant curvature. Zbl 0217.47601
Chern, S.-s.
24
1970
On minimal spheres in the four-sphere. Zbl 0212.26402
Chern, S.-S.
10
1970
Some formulas related to complex transgression. Zbl 0203.54202
Bott, Raoul; Chern, S. S.
8
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 2. Zbl 0204.07602
Chern, S.-S.; Smale, S.
2
1970
Holomorphic curves and minimal surfaces. Zbl 0222.53005
Chern, Shiing-Shen
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 1. Zbl 0204.07601
Chern, S.-S.; Smale, S.
1
1970
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
47
1969
Simple proofs of two theorems on minimal surfaces. Zbl 0175.18603
Chern, Shiing-shen
16
1969
...and 78 more Documents
all top 5

Cited by 3,536 Authors

25 Deng, Shaoqiang
25 Jiao, Xiaoxiang
22 Morozov, Alexei Yurievich
22 Xu, Hongwei
21 Mo, Xiaohuan
19 Chen, Bang-Yen
19 Huang, Xiaojun
19 Tenenblat, Keti
18 Shen, Yibing
17 Beloshapka, Valeriĭ K.
17 Xu, Ming
16 Bidabad, Behroz
16 Ezhov, Vladimir Vladimirovich
16 Li, Jiayu
16 Loboda, Alexander Vasil’evich
16 Mironov, Andrei D.
16 Otsuki, Tominosuke
16 Schmalz, Gerd
16 Zaitsev, Dmitri
14 Bracken, Paul Francis
14 Ebenfelt, Peter
14 Kruglikov, Boris S.
14 Lamel, Bernhard
14 Li, Haizhong
14 Merker, Joël
14 Sabau, Sorin Vasile
13 Gilkey, Peter B.
12 Bismut, Jean-Michel
12 Chern, Shiing-Shen
12 Griffiths, Phillip Augustus
12 Huang, Libing
12 Kossovskiy, Il’ya Grigor’evich
12 Ohta, Shin-ichi
12 Xia, Qiaoling
12 Yao, Kai
12 Zhu, Yuanguo
11 Alías, Luis J.
11 Cheng, Xinyue
11 Isaev, Alexander
11 Musso, Emilio
11 Perrone, Domenico
11 Shen, Zhongmin
11 Xu, Xiaowei
10 Baouendi, Mohammed Salah
10 Han, Xiaoli
10 Ji, Shanyu
10 Kolář, Martin
10 Kristály, Alexandru
10 Latifi, Dariush
10 Morozov, Andreĭ Alekseevich
10 Prástaro, Agostino
10 Salimi Moghaddam, Hamid Reza
10 Tayebi, Akbar
10 Yau, Shing-Tung
10 Zhong, Chunping
9 Aldea, Nicoleta
9 Alesker, Semyon
9 Angella, Daniele
9 Burns, Daniel M. jun.
9 Fei, Jie
9 Gao, Jinwu
9 He, Qun
9 Hsiang, Wu-Yi
9 Javaloyes, Miguel Angel
9 Kamran, Niky
9 Peyghan, Esmaeil
9 Qiu, Chunhui
9 Romero, Alfonso
9 Rothschild, Linda Preiss
9 Simon, Udo
9 Vincze, Csaba
9 Wu, Bingye
9 Xia, Changyu
9 Yano, Kentaro
8 Antonelli, Peter Louis
8 Bedford, Eric
8 Braga Brito, Fabiano Gustavo
8 Bryant, Robert L.
8 Bucataru, Ioan
8 Caponio, Erasmo
8 Cheng, Jih-Hsin
8 Duan, Yishi
8 Forstnerič, Franc
8 Han, Chong-Kyu
8 Hartman, Philip
8 Kim, Sung-Yeon
8 Lin, Chang-Shou
8 Matveev, Vladimir S.
8 Muzsnay, Zoltán
8 Nicolodi, Lorenzo
8 Peng, Chiakuei
8 Reyes, Enrique G.
8 Vlachos, Theodoros
8 Wang, Changping
8 Webster, Sidney M.
7 Ferronato, Massimiliano
7 Gallego Torromé, Ricardo
7 Gao, Yuan
7 Goldberg, Samuel I.
7 Hu, Zejun
...and 3,436 more Authors
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Cited in 431 Serials

160 Differential Geometry and its Applications
141 Journal of Geometry and Physics
126 Transactions of the American Mathematical Society
110 Mathematische Annalen
105 Proceedings of the American Mathematical Society
95 Mathematische Zeitschrift
92 Advances in Mathematics
75 The Journal of Geometric Analysis
72 Tohoku Mathematical Journal. Second Series
63 Inventiones Mathematicae
61 Journal of Mathematical Physics
57 Communications in Mathematical Physics
55 Annali di Matematica Pura ed Applicata. Serie Quarta
50 Journal of Mathematical Analysis and Applications
50 Annals of Global Analysis and Geometry
43 Duke Mathematical Journal
43 Kodai Mathematical Journal
41 Manuscripta Mathematica
40 Geometriae Dedicata
40 International Journal of Geometric Methods in Modern Physics
40 Bulletin of the American Mathematical Society
39 Results in Mathematics
39 Science China. Mathematics
33 Acta Mathematica Sinica. English Series
31 Journal of Differential Equations
31 Journal of High Energy Physics
31 Kodai Mathematical Seminar Reports
30 Annales de l’Institut Fourier
30 Journal of Mathematical Sciences (New York)
29 Mathematical Notes
29 International Journal of Mathematics
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Archiv der Mathematik
26 Bulletin of the American Mathematical Society. New Series
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Fuzzy Optimization and Decision Making
24 Reports on Mathematical Physics
23 Calculus of Variations and Partial Differential Equations
23 Soft Computing
22 Applied Mathematics and Computation
21 Journal of Functional Analysis
21 Nagoya Mathematical Journal
20 International Journal of Theoretical Physics
20 Israel Journal of Mathematics
20 Journal of Soviet Mathematics
20 Monatshefte für Mathematik
20 Nonlinear Analysis. Real World Applications
18 Acta Mathematica
18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
18 Acta Applicandae Mathematicae
17 Journal of Geometry
17 Chinese Annals of Mathematics. Series B
16 Letters in Mathematical Physics
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Nuclear Physics. B
15 Theoretical and Mathematical Physics
15 Rendiconti del Circolo Matemàtico di Palermo. Serie II
15 Science in China. Series A
14 Journal of the Mechanics and Physics of Solids
14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
14 Topology and its Applications
14 Frontiers of Mathematics in China
13 Rocky Mountain Journal of Mathematics
13 Compositio Mathematica
13 Journal of the American Mathematical Society
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Bulletin de la Société Mathématique de France
12 Siberian Mathematical Journal
12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
12 Acta Mathematica Sinica. New Series
11 Osaka Journal of Mathematics
11 Annals of Physics
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Applied Mathematics. Series B (English Edition)
11 Mediterranean Journal of Mathematics
11 Proceedings of the Steklov Institute of Mathematics
11 European Journal of Mathematics
10 General Relativity and Gravitation
10 Physics Letters. B
10 Geometric and Functional Analysis. GAFA
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Geometry & Topology
10 Journal of the European Mathematical Society (JEMS)
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Bulletin of the Australian Mathematical Society
9 Czechoslovak Mathematical Journal
9 Russian Journal of Mathematical Physics
8 Modern Physics Letters A
8 Archive for Rational Mechanics and Analysis
8 International Journal of Solids and Structures
8 Functional Analysis and its Applications
8 Illinois Journal of Mathematics
8 Journal für die Reine und Angewandte Mathematik
8 Bulletin des Sciences Mathématiques
8 Central European Journal of Mathematics
7 International Journal of Modern Physics A
7 Acta Mechanica
7 Computer Methods in Applied Mechanics and Engineering
7 International Journal of Engineering Science
7 Boletim da Sociedade Brasileira de Matemática
...and 331 more Serials
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Cited in 59 Fields

2,126 Differential geometry (53-XX)
640 Global analysis, analysis on manifolds (58-XX)
582 Several complex variables and analytic spaces (32-XX)
354 Partial differential equations (35-XX)
328 Manifolds and cell complexes (57-XX)
217 Quantum theory (81-XX)
171 Dynamical systems and ergodic theory (37-XX)
149 Relativity and gravitational theory (83-XX)
148 Algebraic geometry (14-XX)
125 Ordinary differential equations (34-XX)
107 Algebraic topology (55-XX)
99 Mechanics of deformable solids (74-XX)
89 Calculus of variations and optimal control; optimization (49-XX)
82 Topological groups, Lie groups (22-XX)
81 Functions of a complex variable (30-XX)
72 Mechanics of particles and systems (70-XX)
60 Probability theory and stochastic processes (60-XX)
55 Convex and discrete geometry (52-XX)
49 Systems theory; control (93-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
46 Numerical analysis (65-XX)
42 Nonassociative rings and algebras (17-XX)
36 Geometry (51-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
33 Functional analysis (46-XX)
29 Group theory and generalizations (20-XX)
28 Operator theory (47-XX)
27 Potential theory (31-XX)
25 History and biography (01-XX)
25 Operations research, mathematical programming (90-XX)
24 Fluid mechanics (76-XX)
21 Measure and integration (28-XX)
21 Biology and other natural sciences (92-XX)
20 Number theory (11-XX)
20 Computer science (68-XX)
16 \(K\)-theory (19-XX)
16 Real functions (26-XX)
14 Combinatorics (05-XX)
13 Category theory; homological algebra (18-XX)
12 General and overarching topics; collections (00-XX)
12 Associative rings and algebras (16-XX)
10 Commutative algebra (13-XX)
10 Information and communication theory, circuits (94-XX)
9 Field theory and polynomials (12-XX)
8 Classical thermodynamics, heat transfer (80-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Optics, electromagnetic theory (78-XX)
6 Geophysics (86-XX)
5 General topology (54-XX)
4 Mathematical logic and foundations (03-XX)
4 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Statistics (62-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
2 Approximations and expansions (41-XX)
2 Astronomy and astrophysics (85-XX)
1 Abstract harmonic analysis (43-XX)

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