Comparison Theorems in Riemannian Geometry (Chelsea Publications)

Cheeger, Jeffrey

American Mathematical Society（1975/07発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9780821844175
• DDC分類 516.373

Full Description

The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry.

Contents

Basic concepts and results Toponogov's theorem Homogeneous spaces Morse theory Closed geodesics and the cut locus The sphere theorem and its generalizations The differentiable sphere theorem Complete manifolds of nonnegative curvature Compact manifolds of nonpositive curvature Bibliography Additional bibliography Index.