Osserman Manifolds in Semi-Riemannian Geometry (Lecture Notes in Mathematics, 1777)

Garcia-Rio, Eduardo; Kupeli, Demir N.; Vazquez-Lorenzo, Ramon

ISBN 10: 3540431446 / ISBN 13: 9783540431442

Published by Springer, 2002

About this Item

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Bibliographic Details

• Title: Osserman Manifolds in Semi-Riemannian Geometry (Lecture Notes in Mathematics, 1777)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 3540431446
• ISBN 13: 9783540431442
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.