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Technical The Geometry of Walker Manifolds

Posted on 2010-04-14




Name:Technical The Geometry of Walker Manifolds
ASIN/ISBN:1598298194
Publisher:Morgan and Claypool Publishers
Publish Date:edition 2009
Pages:178 pages
File size:1.47 Mb
Publisher: Morgan and Claypool Publishers
ISBN: 1598298194
Publish Date: edition 2009
File Type: PDF
Pages: 178 pages
File Size: 1,47 mb
   Technical The Geometry of Walker Manifolds

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The Geometry of Walker Manifolds

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian geometry that are quite different from those which occur in Riemannian geometry, i.e. for indefinite as opposed to positive definite metrics. Indefinite metrics are important in many diverse physical contexts: classical cosmological models (general relativity) and string theory to name but two.

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