Gromov's Centralizer Theorem
- Cite this article as:
- Candel, A. & Quiroga-Barranco, R. Geometriae Dedicata (2003) 100: 123. doi:10.1023/A:1025892501271
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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.