Riemannian geometry /

This book is intended for a one-year course in Riemannian geometry. It will serve as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. In...

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Bibliographic Details
Main Author: Petersen, Peter, 1962-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer, [1998]
Series:Graduate texts in mathematics ; 171.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Riemannian Metrics
  • Curvature
  • Examples
  • Hypersurfaces
  • Geodesics and Distance
  • Sectional Curvature Comparison I
  • The Bochner Technique
  • Symmetric Spaces and Holony
  • Ricci Curvature Comparison
  • Convergence
  • Sectional Curvature Comparison II
  • Appendices. A: DeRham Cohomology. B: Principal Bundles. C: Spinors
  • Bibliography.