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Osserman Manifolds in Semi-Riemannian Geometry / by Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo
(Lecture Notes in Mathematics. ISSN:16179692 ; 1777)

1st ed. 2002.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 2002
本文言語 英語
大きさ XIV, 170 p : online resource
冊子体 Osserman manifolds in semi-riemannian geometry / Eduardo Garcia-Rio, Demir N. Kupeli, Ramon Vazquez-Lorenzo
著者標目 *Garcia-Rio, Eduardo author
Kupeli, Demir N author
Vazquez-Lorenzo, Ramon author
SpringerLink (Online service)
件 名 LCSH:Geometry, Differential
LCSH:Mathematical physics
FREE:Differential Geometry
FREE:Theoretical, Mathematical and Computational Physics
一般注記 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
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
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HTTP:URL=https://doi.org/10.1007/b83213
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Springer eBooks 9783540456292
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分 類 LCC:QA641-670
DC23:516.36
書誌ID 4000109167
ISBN 9783540456292

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