Geometriae Dedicata

, Volume 100, Issue 1, pp 123–155 | Cite as

Gromov's Centralizer Theorem

  • A. Candel
  • R. Quiroga-Barranco
Article

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.

simple Lie groups finite type structures analytic actions 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • A. Candel
    • 1
  • R. Quiroga-Barranco
    • 2
  1. 1.Department of MathematicsCSUNNorthridgeU.S.A.
  2. 2.Departamento de MatemáticasCINVESTAV-IPNMéxico DFMéxico

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