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Riemannian Geometry

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ISBN-10: 0387982124

ISBN-13: 9780387982120

Edition: 1997

Authors: Peter Petersen

List price: $79.95
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Description:

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. Instead of variational techniques, the author uses a unique approach emphasizing distance functions and special coordinate systems. He also uses standard calculus with some techniques from differential equations, instead of variational calculus, thereby providing a more elementary route for students. Many of the chapters contain material typically found in specialized texts and never before…    
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Book details

List price: $79.95
Copyright year: 1997
Publisher: Springer
Publication date: 11/7/1997
Binding: Hardcover
Pages: 456
Size: 6.75" wide x 9.75" long x 1.50" tall
Weight: 1.628
Language: English

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
DeRham Cohomology
Principal Bundles
Spinors
Bibliography