Mathematics – Differential Geometry
Scientific paper
2006-05-16
Mathematics
Differential Geometry
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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