Dynamique du pseudo-groupe des isom\'etries locales sur une vari\'et\'e Lorentzienne analytique de dimension 3
Differential Geometry
2008-03-12 v3
Abstract
Let (M,g) be a 3-dimensional compact connected real analytic Lorentz manifold and suppose that g is locally homogeneous on a non-empty open set in M (the pseudogroup of local isometries of g has an open orbit). Then we prove that g is locally homogeneous on M (the pseudogroup of local isometries is transitive on M).
Cite
@article{arxiv.math/0605434,
title = {Dynamique du pseudo-groupe des isom\'etries locales sur une vari\'et\'e Lorentzienne analytique de dimension 3},
author = {Sorin Dumitrescu},
journal= {arXiv preprint arXiv:math/0605434},
year = {2008}
}
Comments
minor changes; to be published in Ergodic Theory and Dynamical Systems