Isometry groups of Lorentzian manifolds of finite volume and the local geometry of compact homogeneous Lorentz spaces - Image 1

£42.90

GRIN Verlag Isometry groups of Lorentzian manifolds of finite volume and the local geometry of compact homogeneous Lorentz spaces

Name: Isometry groups of Lorentzian manifolds of finite volume and the local geometry of compact homogeneous Lorentz spaces
Brand: GRIN Verlag
Price: 42.9 GBP
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Geometry & Topology

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Description

Diploma Thesis from the year 2011 in the subject Mathematics - Geometry, grade: 1,0, Humboldt-University of Berlin (Institut für Mathematik), language: English, abstract: Based on the work of Adams and Stuck as well as on the work of Zeghib, we classify the Lie groups which can act isometrically and locally effectively on Lorentzian manifolds of finite volume. In the case that the corresponding Lie algebra contains a direct summand isomorphic to the two-dimensional special linear algebra or to a twisted Heisenbergalgebra, we also describe the geometric structure of the manifolds if they are compact. Using these results, we investigate the local geometry of compact homogeneous Lorentz spaces whose isometry groups have non-compact connected components. It turns out that they all are reductive. We investigate the isotropy representation, curvatures and holonomy. Especially, we obtain that any Ricci-flat compact homogeneous Lorentz space is flat or has compact isometry group.

Product Specifications

Brand: GRIN Verlag
Format: paperback
ASIN: 3656017344
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 03 October 2011
Listed Since: 05 October 2011

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GRIN Verlag Isometry groups of Lorentzian manifolds of finite volume and the local geometry of compact homogeneous Lorentz spaces

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