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: New

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.

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