Einstein Manifolds
by Besse, A. L.
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 contents and discovering excellent examples of all interaction of geometry with partial differential equations, topology, and Lie groups. Above all, the book provides a clear insight into the scope and diversity of problems posed by its title." S.M. Salamon in MathSciNet 1988 "It seemed likely to anyone …
Read More ↓Title Statements
- Full title :Einstein Manifolds / Arthur L. Besse.
Summary
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 contents and discovering excellent examples of all interaction of geometry with partial differential equations, topology, and Lie groups. Above all, the book provides a clear insight into the scope and diversity of problems posed by its title." S.M. Salamon in MathSciNet 1988 "It seemed likely to anyone who read the previous book by the same author, namely "Manifolds all of whose geodesic are closed", that the present book would be one of the most important ever published on Riemannian geometry. This prophecy is indeed fulfilled." T.J. Wilmore in Bulletin of the London Mathematical Society 1987.
Read More ↓Edition Statements
- Publication Date:©2008.
- Edition:"Reprint of the 1987 ed. "
Publication Statements
- Publisher(s):Springer
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2008.
Notes
"Originally issued as vol. 10 of the Ergebnisse der Mathematik und ihrer Grenzgebiete, 3rd series"--Page iii
The Physical Object
- Description:1 online resource (xii, 516 pages) : : illustrations
Edition Identifiers
- ISBN:9783540743118, 3540743111
- DOI:10.1007/978-3-540-74311-8
- oclc:ocn230743687
- LC Classification:QA649
- Dewey Decimal:516.3/62
Table of Contents
Introduction -- Basic Material -- Basic Material: Khler Manifolds -- Relativity -- Riemannian Functionals -- Ricci Curvature as a Partial Differential Equation -- Einstein Manifolds and Topology -- Homogeneous Riemannian Manifolds -- Compact Homogeneous Khler Manifolds -- Riemannian Submersions -- Holonomy Groups -- Khler-Einstein Metrics and the Calabi Conjecture -- The Moduli Space of Einstein Structures -- Self-Duality -- Quaternion-Khler-Manifolds -- A Report on the Non-Compact Case -- Generalizations of the Einstein Condition -- Appendix. Sobolev Spaces and Elliptic Operators -- Addendum -- Bibliography -- Notation Index -- Subject Index.
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