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Name:Einstein Manifolds~tqw~ darksiderg

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Einstein Manifolds
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General Information
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Type.................: Ebook
Part Size............: 20,205,769 bytes




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Posted by............: ~tqw~

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Release Notes
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Einstein's equations stem from General Relativity. In the context of Riemannian
manifolds, an independent mathematical theory has developed around them.
Recently, it has produced several striking results, which have been of great
interest also to physicists. This Ergebnisse volume is the first book which
presents an up-to-date overview of the state of the art in this field. "Einstein
Manifold"s is a successful attempt to organize the abundant literature, with
emphasis on examples. Parts of it can be used separately as introduction to
modern Riemannian geometry through topics like homogeneous spaces, submersions,
or Riemannian functionals.

Table Of Contents

Chapter O. Introduction 1
Chapter 1. Basic Material 20
Chapter 2. Basic Material (Continued): Kahler Manifolds 66
Chapter 3. Relativity 94
Chapter 4. Riemannian Functionals 116
Chapter 5. Ricci Curvature as a Partial Differential Equation 137
Chapter 6. Einstein Manifolds and Topology 154
Chapter 7. Homogeneous Riemannian Manifolds 177
Chapter 8. Compact Homogeneous Kahler Manifolds 208
Chapter 9. Riemannian Submersions 235
Chapter 10. Holonomy Groups 278
Chapter 11. Kahler-Einstein Metrics and the Calabi Conjecture 318
Chapter 12. The Moduli Space of Einstein Structures 340
Chapter 13. Self-Duality 369
Chapter 14. Quaternion-Kahler Manifolds 396
Chapter 15. A Report on the Non-Compact Case 422
Chapter 16. Generalizations of the Einstein Condition 432
Appendix. Sobolev Spaces and Elliptic Operators 456
Addendum 471

Product Details

* ISBN: 3540741208
* ISBN-13: 9783540741206
* Format: Paperback, 516pp
* Publisher: Springer-Verlag New York, LLC
* Pub. Date: December 2007

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