Osserman manifolds in semi-Riemannian geometry. Lecture notes in mathematics; Bd. 1777.

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

ISBN 10: 3540431446 / ISBN 13: 9783540431442

Editore: Berlin, Springer, 2002

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03145 9783540431442 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489044

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Titolo: Osserman manifolds in semi-Riemannian ...

Casa editrice: Berlin, Springer

Data di pubblicazione: 2002

Legatura: Softcover

Descrizione articolo

Riassunto:

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.

Contenuti:

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.