Selected Papers Of C C Hsiung

Chuan-chih Hsiung

• Publisher: World Scientific
• Year: 2001
• Print ISBN:
  9789810243234
  9789810243234
• eBook ISBN:
  9789812810618
• Topic: Mathematics
• Subtopic: Analytic Geometry
• Index: Mathematics

This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry.During the period of 1935-1943, Prof Hsiung was in China working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States, where he gradually shifted to global problems. Altogether Prof Hsiung has published about 100 research papers, from which he has selected 64 (in chronological order) for this volume.

Table of contents

• TABLE OF CONTENTS
• Preface
• Personal and Professional History
• Sopra il Contatto di Due Curve Piane
• A Theorem on the Tangram
• Projective Differential Geometry of a Pair of Plane Curves
• An Invariant of Intersection of Two Surfaces
• Projective Invariants of a Pair of Surfaces
• Projective Invariants of Intersection of Certain Pairs of Surfaces
• Some Invariants of Certain Pairs of Hypersurfaces
• A Projective Invariant of a Certain Pair of Surfaces
• Projective Invariants of Contact of Two Curves in Space of n Dimensions
• On Triplets of Plane Curvilinear Elements with a Common Singular Point
• Invariants of Intersection of Certain Pairs of Curves in n-Dimensional Space
• Affine Invariants of a Pair of Hypersurfaces
• Some Integral Formulas for Closed Hypersurfaces
• A Theorem on Surfaces with a Closed Boundary
• On Differential Geometry of Hypersurfaces in the Large
• Some Global Theorems on Hypersurfaces
• A Uniqueness Theorem for Minkowski's Problem for Convex Surfaces with Boundary
• Curvature and Betti Numbers of Compact Riemannian Manifolds with Boundary
• A Uniqueness Theorem on Two-Dimensional Riemannian Manifolds with Boundary
• A Uniqueness Theorem on Closed Convex Hypersurfaces in Euclidean Space
• Some Uniqueness Theorem on Riemannian Manifolds with Boundary
• Isoperimetic Inequalities for Two-Dimensional Riemannian Manifolds with Boundary
• A Note of Correction
• On the Isometry of Compact Submanifolds in Euclidean Space
• Curvature and Homology of Riemannian Manifolds with Boundary
• Vector Fields and Infinitesimal Transformations on Riemannian Manifolds with Boundary
• On the Congruence of Hypersurfaces
• On the Group of Conformal Transformations of a Compact Riemannian Manifold
• Structures and Operators on Almost-Hermitian Manifolds
• Affine Differential Geometry of Closed Hypersurfaces
• On the Group of Conformal Transformations of a Compact Riemannian Manifold. II
• Curvature and Characteristic Classes of Compact Riemannian Manifolds
• The Group of Conformal Transformations of a Compact Riemannian Manifold
• Isometries of Compact Submanifolds of a Riemannian Manifold
• On the Group of Conformal Transformations of a Compact Riemannian Manifold. III
• Submanifolds of Spheres
• Minimal Immersions in Riemannian Spheres
• Curvature and Characteristic Classes of Compact Pseudo-Riemannian Manifolds
• Complex Laplacians on Almost-Hermitian Manifolds
• Conformality and Isometry of Riemannian Manifolds to Spheres
• Isometries of Compact Hypersurfaces with Boundary in a Riemannian Space
• Riemannian Manifolds Admitting Certain Conformal Changes of Metric
• The Signature and G-Signature of Manifolds with Boundary
• Isometry of Riemannian Manifolds to Spheres
• The Total Absolute Curvature of Closed Curves in Riemannian Manifolds
• A Remark on Pinched Manifolds with Boundary
• The Generalized Poincare Conjecture on Higher Dimensional Manifolds with Boundary
• Congruence Theorems for Compact Hypersurfaces of a Riemannian Manifold
• Isometry of Riemannian Manifolds to Spheres II
• A Remark on Cobordism of Manifolds with Boundary
• Integral Formulas for Closed Submanifolds of a Riemannian Manifold
• A Generalization of the Rigidity Theorem of Cohn-Vossen
• Euclidean and Conformal Invariants of Submanifolds
• Some Uniqueness Theorems on Two-Dimensional Riemannian Manifolds Immersed in a General Euclidean Space
• Nonexistence of a Complex Structure on the Six-Sphere
• Euler-Poincare Characteristic and Higher Order Sectional Curvature. I
• Conformal Invariants of Submanifolds. II
• A Certain Class of Almost Hermitian Manifolds
• A New Class of Almost Complex Structures
• The Spectral Geometry of Almost L Manifolds
• Holomorphic Sectional and Bisectional Curvatures of Almost Hermitian Manifolds
• The Spectral Geometry of Some Almost Hermitian Manifolds
• Some Conditions for a Complex Structure
• Nonexistence of a Complex Structure on the Six-Sphere. II
• Remarks on Some Selected Papers
• Curriculum Vitae
• Bibliography of the Publications of Chuan-Chih Hsiung
• List of Ph.D. Theses Written Under the Supervision of Chuan-Chih Hsiung
• Permission