Geometry and Topology of Submanifolds X

by Chen, W. H.; Wang, C. P.

• ISBN13: 9789810244767
• ISBN10: 9810244762
• Format: Hardcover
• Copyright: 2001-01-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

A collection of papers presented at two international meetings in 1999: A Conference on Differential Geometry, held at Peking University from August 29th-September 3rd, 1999, and a Workshop on PDEs and Submanifolds, held at TU-Berlin from November 26-28, 1999. All papers were dedicated to Professor S.S. Chern, honoring Chern's work.

Table of Contents

Dedication	p. vii
Introduction	p. ix
Progress in Affine Differential Geometry--Problem List and Continued Bibliography	p. 1
On the Classification of Timelike Bonnet Surfaces	p. 18
Affine Hyperspheres with Constant Affine Sectional Curvature	p. 31
Contact Holomorphic Curves and Flat Surfaces	p. 54
Geometric Properties of the Curvature Operator	p. 62
On a Question of S.S. Chern Concerning Minimal Hypersurfaces of Spheres	p. 71
Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature	p. 73
Parallel Pure Spinors on Pseudo-Riemannian Manifolds	p. 87
Homogeneous Geodesics in Homogeneous Riemannian Manifolds--Examples	p. 104
Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds	p. 113
Affine Differential Geometry and Partial Differential Equations of Fourth Order	p. 136
Submanifolds with Pointwise Planar Normal Sections in a Complex Projective Space	p. 145
Tchebychev Hypersurfaces of S[superscript n+1](1)	p. 154
Nirenberg's Problem in 90's	p. 171
A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g, m) = (6, 1)	p. 178
Harmonic Maps and Negatively Curved Homogeneous Spaces	p. 200
On the Realization of Connections on Affine Minimal Surfaces and Affine Spheres	p. 216
Biharmonic Morphisms Between Riemannian Manifolds	p. 231
Quadric Representation of a Submanifold in Pseudo-Euclidean Space	p. 240
The Spectral Geometry of the Dolbeault Laplacian with Coefficients in a Holomorphic Vector Bundle for a Hermitian Submersion	p. 252
Willmore Surfaces and Minimal Surfaces with Flat Ends	p. 259
Intrinsic Properties of Real Hypersurfaces in Complex Space Forms	p. 266
On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds	p. 274
Intrinsic and Extrinsic Geometry of Ovaloids and Rigidity	p. 284
Geodesic Mappings of the Ellipsoid	p. 294
The Classification of Homogeneous Surfaces in CP[superscript 2]	p. 303
A Semi-Classical Limit and Its Applications	p. 315
[eta]-Invariants and the Poincare-Hopf Index Formula	p. 336
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