Abstract
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, as- pherical, real-analytic, complete Lorentz manifold such that the isometry group of the universal cover has semisimple identity com- ponent, then the local isometry orbits in M are roughly fibers of a fiber bundle. A corollary is that if M has an open, dense, locally homogeneous subset, then M is locally homogeneous.
Citation
Karin Melnick. "Compact Lorentz manifolds with local symmetry." J. Differential Geom. 81 (2) 355 - 390, February 2009. https://doi.org/10.4310/jdg/1231856264
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