Riemannian Geometry (Second Edition)

Author: Peter Petersen
Language: English
ISBN/ISSN: 9787030182944
Published on: 2007-01
Hardcover

The book can be divided into five imaginary parts
Part I: Tensor geometry, consisting of chapters 1-4.
Part II: Classical geodesic geometry, consisting of chapters 5 and 6.
Part III: Geometry a la Bochner and Cartan, consisting of chapters 7 and 8.
Part IV: Comparison geometry, consisting of chapters 9-11.

Chapter 1 Riemannian Metrics
Chapter 2 Curvature
Chapter 3 Examples
Chapter 4 Hypersurfaces
Chapter 5 Geodesics and Distance
Chapter 6 Sectional Curvature Comparison I
Chapter 7 The Bochner Technique
Chapter 8 Symmetric Spaces and Holonomy
Chapter 9 Ricci Spaces and Comparison
Chapter 10 Convergence
Chapter 11 Sectional Curvature Comparison II