Einstein manifolds
著者
書誌事項
Einstein manifolds
（Classics in mathematics）
Springer, c2008
- タイトル別名
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Einstein manifolds
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注記
"Reprint of the 1987 Edition"--T.p.
"Originally published as Vol. 10 of the Ergebnisse der Mathematik und ihrer Grenzgebiete, 3rd series"--T.p. verso
"First Reprint 2002"--Original t.p. verso
Includes bibliographical references (p. [479]-499) and index
内容説明・目次
内容説明
Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed around them. 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 used as an introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals.
目次
Basic Material.- Basic Material (Continued): Kahler Manifolds.- Relativity.- Riemannian Functionals.- Ricci Curvature as a Partial Differential Equation.- Einstein Manifolds and Topology.- Homogeneous Riemannian Manifolds.- Compact Homogeneous Kahler Manifolds.- Riemannian Submersions.- Holonomy Groups.- Kahler-Einstein Metrics and the Calabi Conjecture.- The Moduli Space of Einstein Structures.- Self-Duality.- Quaternion-Kahler Manifolds.- A Report on the Non-Compact Case.- Generalizations of the Einstein Condition.
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