Compact lorentz manifolds with local symmetry

Karin Melnick Yale University

Differential Geometry mathscidoc:1609.10102

Journal of Differential Geometry, 81, (2), 355-390, 2009
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such that the isometry group of the universal cover has semisimple identity component, then the local isometry orbits in M are roughly ¯bers of a¯ber bundle. A corollary is that if M has an open, dense, locally homogeneous subset, then M is locally homogeneous.
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@inproceedings{karin2009compact,
  title={COMPACT LORENTZ MANIFOLDS WITH LOCAL SYMMETRY},
  author={Karin Melnick},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911175707166160759},
  booktitle={Journal of Differential Geometry},
  volume={81},
  number={2},
  pages={355-390},
  year={2009},
}
Karin Melnick. COMPACT LORENTZ MANIFOLDS WITH LOCAL SYMMETRY. 2009. Vol. 81. In Journal of Differential Geometry. pp.355-390. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911175707166160759.
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