Einstein manifolds
Arthur L. Besse.
"Reprint of the 1987 edition." -- t.p.
Berlin ; New York : Springer, ©2008.
xii, 516 págs. : ilustraciones ; 24 cm.
Serie: Classics in mathematics, ISSN 1431-0821.
ISBN: 9783540741206 (pbk. : alk. paper), 3540741208
Incluye referencias bibliográficas (p. [479]-499) e índices.
Reseña: MathSciNet, 2008k:53084
Contenido
- 0. Introduction
- 1. Basic Material
- 2. Basic Material: Kähler Manifolds
- 3. Relativity
- 4. Riemannian Functionals
- 5. Ricci Curvature as a Partial Differential Equation
- 6. Einstein Manifolds and Topology
- 7. Homogeneous Riemannian Manifolds
- 8. Compact Homogeneous Kähler Manifolds
- 9. Riemannian Submersions
- 10. Holonomy Groups
- 11. Kähler-Einstein Metrics and the Calabi Conjecture
- 12. The Moduli Space of Einstein Structures
- 13. Self-Duality
- 14. Quaternion-Kähler Manifolds
- 15. A Report on the Non-Compact Case
- 16. Generalizations of the Einstein Condition
- Appendix. Sobolev Spaces and Elliptic Operators
- Addendum.
