Osserman manifolds in semi-Riemannian geometry /

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Bibliographic Details
Author / Creator:García-Río, Eduardo.
Imprint:Berlin ; New York : Springer, ©2002.
Description:1 online resource (xii, 166 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1777
Lecture notes in mathematics (Springer-Verlag) ; 1777.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11064929
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Other authors / contributors:Kupeli, Demir N.
Vázquez-Lorenzo, Ramón.
ISBN:9783540456292
3540456295
3540431446
9783540431442
Notes:Includes bibliographical references (pages 157-163) and index.
Print version record.
Summary: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.
Other form:Print version:García-Río, Eduardo. Osserman manifolds in semi-Riemannian geometry