Homogeneous Structures on Riemannia: 83 (London Mathematical Society Lecture Note Series, Series Number 83) - Image 1

£49.25

Cambridge University Press Homogeneous Structures on Riemannia: 83 (London Mathematical Society Lecture Note Series, Series Number 83)

Name: Homogeneous Structures on Riemannia: 83 (London Mathematical Society Lecture Note Series, Series Number 83)
Brand: Cambridge University Press
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Applied Mathematics

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The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are discussed in detail. Using the constructive proof of Ambrose and Singer many examples are discussed with special attention to the natural correspondence between the homogeneous structure and the groups acting transitively and effectively as isometrics on the manifold.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521274893
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 21 August 2008
Listed Since: 31 March 2008

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Cambridge University Press Homogeneous Structures on Riemannia: 83 (London Mathematical Society Lecture Note Series, Series Number 83)

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