Riemannian Geometry

Intended for a one year course, this volume serves 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. This is one of the few works to c...

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Main Author: Petersen, Peter
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: New York, NY Springer New York 2006, 2006
Edition:2nd ed. 2006
Series:Graduate Texts in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Riemannian Metrics
  • Curvature
  • Examples
  • Hypersurfaces
  • Geodesics and Distance
  • Sectional Curvature Comparison I
  • The Bochner Technique
  • Symmetric Spaces and Holonomy
  • Ricci Curvature Comparison
  • Convergence
  • Sectional Curvature Comparison II.