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

版	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
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 HTTP:URL=https://doi.org/10.1007/b83213

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