Department of Mathematics
A morse lemma for quasigeodesics in symmetric spaces and euclidean buildings
- Author(s): Kapovich, M
- Leeb, B
- Porti, J
- et al.
Published Web Locationhttps://doi.org/10.2140/gt.2018.22.3827
© 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.