Homogeneous Lorentz manifolds with simple isometry group

Details Homogeneous Lorentz manifolds with simple isometry group Homogeneous Lorentz manifolds with simple isometry group

2000-07-24

arxiv.org/abs/math/0007143v1

Mathematics

Differential Geometry

Latex2e file, 9 pages, no figures

Scientific paper

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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