Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3

Mathematics – Differential Geometry

Scientific paper

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minor changes; to be published in Ergodic Theory and Dynamical Systems

Scientific paper

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).

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