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Einstein Manifolds
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Catalogue Information
Field name
Details
Dewey Class
514.34
Title
Einstein Manifolds ([EBook] /) / by Arthur L. Besse.
Author
Besse, Arthur L.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1987.
Physical Details
XII, 510 p. : online resource.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
1431-0821
ISBN
9783540743118
Summary Note
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.:
Contents note
Basic Material -- Basic Material (Continued): Kähler Manifolds -- Relativity -- Riemannian Functionals -- Ricci Curvature as a Partial Differential Equation -- Einstein Manifolds and Topology -- Homogeneous Riemannian Manifolds -- Compact Homogeneous Kähler Manifolds -- Riemannian Submersions -- Holonomy Groups -- Kähler-Einstein Metrics and the Calabi Conjecture -- The Moduli Space of Einstein Structures -- Self-Duality -- Quaternion-Kähler Manifolds -- A Report on the Non-Compact Case -- Generalizations of the Einstein Condition.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-540-74311-8
Links to Related Works
Subject References:
Complex manifolds
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Differential Geometry
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Geometry
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Manifolds and Cell Complexes (incl. Diff.Topology)
.
Manifolds (Mathematics)
.
Mathematical Methods in Physics
.
Mathematics
.
Physics
.
Authors:
Besse, Arthur L.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
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Classification:
514.34
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