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1 results

  • Remarks on Lorentz symmetric spaces

  • Abdelghani Zeghib
  • Journal:
    Compositio Mathematica / Volume 140 / Issue 6 / November 2004
    Published online by Cambridge University Press:
    15 October 2004, pp. 1675-1678
    Print publication:
    November 2004
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  • 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.