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Remarks on Lorentz symmetric spaces
Published online by Cambridge University Press: 15 October 2004
Abstract
We consider homogeneous Lorentz spaces of dimension at least 3. We prove that if such a space has ‘big’ isotropy (that is, a non-precompact and irreducible isotropy group), then this space must have constant sectional curvature. As a corollary, we obtain a new direct proof of the fact that irreducible Lorentz symmetric spaces have constant curvature, which was known via (algebraic) classification.
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- Research Article
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- Foundation Compositio Mathematica 2004
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