Einstein manifolds
著者
書誌事項
Einstein manifolds
（Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer-Verlag, c1987
- : Berlin
- : New York
- : [pbk.]
大学図書館所蔵 件 / 全100件
-
名古屋大学 理学 図書室理数理
: BerlinBES||10||2-4||4321541394507,
BES||10||2-2||2696240909228, : [pbk.]41636320 -
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注記
Includes bibliographical references (p. [479]-499), notation index (p. [500]-504), and subject index (p. [505]-510)
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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