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

Sorin Dumitrescu
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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).

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BibTeXRIS

Sorin Dumitrescu. 2008-03-12. Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3. https://arxiv.org/abs/math/0605434

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