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Open Access Publications from the University of California

A morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

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

© 2018, Mathematical Sciences Publishers. All rights reserved. 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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