Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
Abstract
Description
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).
minor changes; to be published in Ergodic Theory and Dynamical Systems
minor changes; to be published in Ergodic Theory and Dynamical Systems