Osserman manifolds in semi-Riemannian geometry
Author(s)
Bibliographic Information
Osserman manifolds in semi-Riemannian geometry
（Lecture notes in mathematics, 1777）
Springer, c2002
Available at / 75 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||177778800461
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1777410.8/L507/v.177705763792,
410.8/L507/v.177705763792 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:516.373/G1652070558995
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Note
Includes bibliographical references (p. [157]-163) and index
Description and Table of Contents
Description
The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.
Table of Contents
The Osserman Conditions in Semi-Riemannian Geometry.- The Osserman Conjecture in Riemannian Geometry.- Lorentzian Osserman Manifolds.- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2).- Semi-Riemannian Osserman Manifolds.- Generalizations and Osserman-Related Conditions.
by "Nielsen BookData"