Riemannian Geometry

Peter Petersen (auth.)0387294031, 0387292462, 9780387292465

Table of contents :
Front Matter….Pages i-xvi
Riemannian Metrics….Pages 1-18
Curvature….Pages 19-61
Examples….Pages 63-88
Hypersurfaces….Pages 89-102
Geodesics and Distance….Pages 103-136
Sectional Curvature Comparison I….Pages 137-162
The Bochner Technique….Pages 163-205
Symmetric Spaces and Holonomy….Pages 207-242
Ricci Curvature Comparison….Pages 243-271
Convergence….Pages 273-315
Sectional Curvature Comparison II….Pages 317-359
Back Matter….Pages 361-434