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Einstein manifolds

Author: A L Besse
Publisher: Berlin ; New York : Springer, ©2008.
Series: Classics in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This is the first book which presents an overview of several striking results ensuing from the examination of Einstein's equations in the context of Riemannian manifolds. Parts of the text can be  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A L Besse
ISBN: 9783540741206 3540741208
OCLC Number: 221661639
Notes: "Reprint of the 1987 Edition."
Description: xii, 516 pages : illustrations ; 24 cm.
Contents: Chapter 0. Introduction --
Chapter 1. Basic material --
Chapter 2. Basic materisl (continued) : Kahler Manifolds --
Chapter 3. Relativity --
Chapter 4. Riemannian functionals --
Chapter 5. Ricci Curvature as a partial differential equation --
Chapter 6. Einstein manifolds and topology --
Chapter 7. Homogeneous Riemannian manifolds --
Chapter 8. Compact homogeneous Kahler manifolds --
Chapter 9. Riemannian submersions --
Chapter 10. Holonomy groups --
Chapter 11. Kahler-Einstein metrics and the Calabi Conjecture --
Chapter 12. The Moduli Space of Einstein structures --
Chapter 13. Self-duality --
Chapter 14. Quaternion-Kahler manifolds --
Chapter 15. A report on the non-compact case --
Chapter 16. Generalization of the Einstein condition --
Appendix. Sobolev spaces and Elliptic operators --
Addendum.
Series Title: Classics in mathematics.
Responsibility: Arthur L. Besse.
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From the reviews:"[...] an efficient reference book for many fundamental techniques of Riemannian geometry. [...] despite its length, the reader will have no difficulty in getting the feel of its Read more...

 
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