2006/05/16 by Sorin Dumitrescu, Dumitrescu, Sorin
Mathematics · #53A55 #53B30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A55 #msc:53B30 #msc:53C50
paper · pdf · doi:10.48550/arxiv.math/0605434
minor changes; to be published in Ergodic Theory and Dynamical Systems
arxiv created 2008/03/12 · arxiv updated 2009/12/01
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).