Homogeneous Lorentz manifolds with simple isometry group

2000/07/24 by Dave Witte, Witte, Dave
Mathematics · #17B20 (Secondary) #22E43 #53C50 (Primary) 53C30 #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT) #math.DG #math.RT #msc:17B20 #msc:22E43 #msc:53C30 #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/0007143

Latex2e file, 9 pages, no figures

arxiv created 2000/07/24 · arxiv updated 2009/11/30

Abstract

Let H be a closed, noncompact subgroup of a simple Lie group G, such that G/H admits an invariant Lorentz metric. We show that if G = SO(2,n), with n > 2, then the identity component of H is conjugate to the identity component of SO(1,n). Also, if G = SO(1,n), with n > 2, then the identity component of H is conjugate to the identity component of SO(1,n-1).

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