Riemannian Geometry

• Main Author: Petersen, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: Second Edition.
• Series: Graduate Texts in Mathematics, 171
• Subjects: Mathematics.; Differential geometry.; Differential 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...

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.