Osserman Manifolds in Semi-Riemannian Geometry

• Main Authors: Garcia-Rio, Eduardo (Author, http://id.loc.gov/vocabulary/relators/aut), Kupeli, Demir N. (http://id.loc.gov/vocabulary/relators/aut), Vazquez-Lorenzo, Ramon (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1777
• Subjects: Differential geometry.; Mathematical physics.; Differential Geometry.; Theoretical, Mathematical and Computational Physics.

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-fre...

Table of Contents:

• 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.