Ebook: Einstein Manifolds
Author: Arthur L. Besse (auth.)
- Tags: Manifolds and Cell Complexes (incl. Diff.Topology), Geometry, Differential Geometry, Mathematical Methods in Physics
- Series: Ergebnisse der Mathematik und ihrer Grenzgebiete
- Year: 1987
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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
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
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
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-19
Basic Material....Pages 20-65
Basic Material (Continued): K?hler Manifolds....Pages 66-93
Relativity....Pages 94-115
Riemannian Functionals....Pages 116-136
Ricci Curvature as a Partial Differential Equation....Pages 137-153
Einstein Manifolds and Topology....Pages 154-176
Homogeneous Riemannian Manifolds....Pages 177-207
Compact Homogeneous K?hler Manifolds....Pages 208-234
Riemannian Submersions....Pages 235-277
Holonomy Groups....Pages 278-317
K?hler-Einstein Metrics and the Calabi Conjecture....Pages 318-339
The Moduli Space of Einstein Structures....Pages 340-368
Self-Duality....Pages 369-395
Quaternion-K?hler Manifolds....Pages 396-421
A Report on the Non-Compact Case....Pages 422-431
Generalizations of the Einstein Condition....Pages 432-455
Back Matter....Pages 456-512
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
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-19
Basic Material....Pages 20-65
Basic Material (Continued): K?hler Manifolds....Pages 66-93
Relativity....Pages 94-115
Riemannian Functionals....Pages 116-136
Ricci Curvature as a Partial Differential Equation....Pages 137-153
Einstein Manifolds and Topology....Pages 154-176
Homogeneous Riemannian Manifolds....Pages 177-207
Compact Homogeneous K?hler Manifolds....Pages 208-234
Riemannian Submersions....Pages 235-277
Holonomy Groups....Pages 278-317
K?hler-Einstein Metrics and the Calabi Conjecture....Pages 318-339
The Moduli Space of Einstein Structures....Pages 340-368
Self-Duality....Pages 369-395
Quaternion-K?hler Manifolds....Pages 396-421
A Report on the Non-Compact Case....Pages 422-431
Generalizations of the Einstein Condition....Pages 432-455
Back Matter....Pages 456-512
....