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      Dynamique du pseudo-groupe des isom\'etries locales sur une vari\'et\'e Lorentzienne analytique de dimension 3

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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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          Author and article information

          Journal
          16 May 2006
          2008-03-12
          Article
          math/0605434
          adddd794-9e81-42e0-9d0b-a8b7f6b405a0
          History
          Custom metadata
          53A55 ; 53B30 ; 53C50
          minor changes; to be published in Ergodic Theory and Dynamical Systems
          math.DG

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