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A morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

  • Author(s): Kapovich, M;
  • Leeb, B;
  • Porti, J
  • et al.
Abstract

We prove a Morse lemma for regular quasigeodesics in nonpositively curved symmetric spaces and euclidean buildings. We apply it to give a new coarse geometric characterization of Anosov subgroups of the isometry groups of such spaces simply as undistorted subgroups which are uniformly regular.

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