Compact Lorentz manifolds with local symmetry
Melnick, Karin
J. Differential Geom., Tome 81 (2009) no. 2, p. 355-390 / Harvested from Project Euclid
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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.
Publié le : 2009-02-15
Classification:  
@article{1231856264,
     author = {Melnick, Karin},
     title = {Compact Lorentz manifolds with local symmetry},
     journal = {J. Differential Geom.},
     volume = {81},
     number = {2},
     year = {2009},
     pages = { 355-390},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1231856264}
}

Melnick, Karin. Compact Lorentz manifolds with local symmetry. J. Differential Geom., Tome 81 (2009) no. 2, pp.  355-390. http://gdmltest.u-ga.fr/item/1231856264/