London mathematical society lecture note seriesseries number 83 homogeneous structures on riemannian manifolds

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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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 23 juni 1983

Aantal pagina's: 144

Illustraties: Nee

Hoofdauteur: F. Tricerri

Tweede Auteur: L. Vanhecke

Co Auteur: L. Vanhecke

Hoofduitgeverij: Cambridge University Press

Extra groot lettertype: Nee

Product breedte: 152 mm

Product hoogte: 8 mm

Product lengte: 228 mm

Studieboek: Ja

Verpakking breedte: 152 mm

Verpakking hoogte: 8 mm

Verpakking lengte: 228 mm

Verpakkingsgewicht: 220 g

EAN: 9780521274890

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