Abstract
We study the properties of rigid geometric structures and their relation with those of finite type. The main result proves that for a noncompact simple Lie group G acting analytically on a manifold M preserving a finite volume and either a connection or a geometric structure of finite type there is a nontrivial space of globally defined Killing vector fields on the universal cover \(\tilde M\) that centralize the action of G. Several appplications of this result are provided.
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Candel, A., Quiroga-Barranco, R. Gromov's Centralizer Theorem. Geometriae Dedicata 100, 123–155 (2003). https://doi.org/10.1023/A:1025892501271
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DOI: https://doi.org/10.1023/A:1025892501271