Selected papers

著者

書誌事項

Selected papers

Shiing-shen Chern

Springer-Verlag, c1978-c1989

  • [v. 1] : us
  • [v. 1] : gw
  • v. 2 : us
  • v. 2 : gw
  • v. 3 : us
  • v. 3 : gw
  • v. 4 : us
  • v. 4 : gw

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注記

Published in conjunction with the International Symposium in Global Analysis and Global Geometry to be held in Berkeley, Calif., June 1979

"Bibliography of the publications of S.S. Chern": [v. 1], p. 467-474

"Bibliography of the publications of S.S. Chern": v. 2, p. xxiii-xxx

Includes bibliographical references

内容説明・目次

巻冊次

[v. 1] : us ISBN 9780387903392

内容説明

volume 1. "Reprint of the 1978 edition." -- volume 2. "Reprint of the 1989 edition." -- volume 3. "Reprint of the 1989 edition." --
巻冊次

v. 2 : us ISBN 9780387968162

内容説明

In recognition of professor Shiing-Shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern's total publications up to 1979. Later, a fourth volume was published, focusing on papers written during the Eighties. This second volume comprises selected papers written between 1932 and 1965.

目次

[1] Pairs of Plane Curves with Points in One-to-One Correspondence.- [3] Associate Quadratic Complexes of a Rectilinear Congruence.- [6] Sur la Geometrie d'une Equation Differentielle du Troisieme Ordre.- [8] On Projective Normal Coordinates.- [9] On Two Affine Connections.- [10] Sur la Geometrie d'un Systeme d'Equations Differentielles du Second Ordre.- [12] Sur les Invariants Integraux en Geometrie.- [14] Sur une Generalisation d'une Formule de Crofton.- [15] Sulla Formula Principale Cinematica dello Spazio ad n dimensioni (with Chih-ta Yen).- [17] Sur les Invariants de Contact en Geometrie Projective Differentielle.- [20] The Geometry of Isotropic Surfaces.- [21] On a Weyl Geometry Defined from an (n - 1) Parameter Family of Hypersurfaces in a Space of n Dimensions.- [22] On the Euclidean Connections in a Finsler Space.- [24] Laplace Transforms of a Class of Higher Dimensional Varieties in a Projective Space of n Dimensions.- [26] Integral Formulas for the Characteristic Classes of Sphere Bundles.- [29] Some New Characterizations of the Euclidean Sphere.- [32] Some New Viewpoints in Differential Geometry in the Large.- [34] Differential Geometry in Symplectic Space I (with Hsien-chung Wang).- [40] Note on Projective Differential Line Geometry.- [42] Local Equivalence and Euclidean Connections in Finsler Spaces.- [43] The Imbedding Theorem for Fibre Bundles (with Yi-Fone Sun).- [45] The Homology Structure of Sphere Bundles (with E. Spanier).- [46] Differential Geometry of Fiber Bundles.- [48] On the Kinematic Formula in the Euclidean Space of n Dimensions.- [49] Elie Cartan and his Mathematical Work (with Claude Chevalley).- [50] Some Theorems on the Isometric Imbedding of Compact Riemann Manifolds in Euclidean Space (with Nicolaas H. Kuiper).- [53] Relations Between Riemannian and Hermitian Geometries.- [56] La Geometrie des Sous-Varietes d'un Espace Euclidien a Plusieurs Dimensions.- [57] An Elementary Proof of the Existence of Isothermal Parameters on a Surface.- [58] On Special W-Surfaces.- [59] On Curvature and Characteristic Classes of a Riemann Manifold.- [64] A Proof of the Uniqueness of Minkowski's Problem for Convex Surfaces.- [66] On the Total Curvature of Immersed Manifolds, II (with Richard K. Lashof).- [67] Differential Geometry and Integral Geometry.- [77] On the Isometry of Compact Submanifolds in Euclidean Space (with Chuan-chih Hsiung).- [80] Hermitian Vector Bundles and the Equidistribution of the Zeroes of their Holomorphic Sections (with Raoul Bott).- List of Ph.D Theses Written Under the Supervision of S.S. Chern.- Permissions.
巻冊次

v. 3 : us ISBN 9780387968179

内容説明

In recognition of professor Shiing-Shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern's total publications up to 1979. Later, a fourth volume was published, focusing on papers written during the Eighties. This third volume comprises selected papers written between 1965 and 1979.

目次

Bibliography of S. S. Chern.- Articles 81 - 120.- Permissions.
巻冊次

v. 4 : us ISBN 9780387968209

内容説明

In recognition of professor Shiing-Shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern's total publications up to 1979. Later, this fourth volume was published, focusing on papers written during the Eighties.

目次

[123]* Geometrical Interpretation of the sinh-Gordon Equation.- [125] Remarks on the Riemannian Metric of a Minimal Submanifold.- [126] A Simple Proof of Frobenius Theorem.- [127] Foliations on a Surface of Constant Curvature and the Modified Korteweg-de Vries Equations.- [128] On the Backlund Transformations of KdV Equations and Modified KdV Equations.- [129] Web Geometry.- [130] Projective Geometry, Contact Transformations, and CR-Structures.- [131] Minimal Surfaces by Moving Frames.- [132] On Surfaces of Constant Mean Curvature in a Three-Dimensional Space of Constant Curvature.- [133] Deformation of Surfaces Preserving Principal Curvatures.- [134] On Riemannian Metrics Adapted to Three-Dimensional Contact Manifolds.- [135] Harmonic Maps of S2 into a Complex Grassmann Manifold.- [136] Moving Frames.- [139] Pseudospherical Surfaces and Evolution Equations.- [140] On a Conformal Invariant of Three-Dimensional Manifolds.- [142] Harmonic Maps of the Two-Sphere into a Complex Grassmann Manifold II.- [143] Tautness and Lie Sphere Geometry.- [144] Vector Bundles with a Connection.- [145] Dupin Submanifolds in Lie Sphere Geometry.- Topics in Differential Geometry, Institute for Advanced Study.- Minimal Submanifolds in a Riemannian Manifold.- Permissions.

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