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Osserman Manifolds in Semi-Riemannian Geometry

Osserman Manifolds in Semi-Riemannian Geometry

Paperback

Series: Lecture Notes in Mathematics, Book 1777

Medical ReferenceGeometry

ISBN10: 3540431446
ISBN13: 9783540431442
Publisher: Springer
Published: Feb 25 2002
Pages: 170
Weight: 0.59
Height: 0.39 Width: 6.14 Depth: 9.21
Language: English
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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