A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

Kapovich, Michael; Leeb, Bernhard und Porti, Joan (2018): A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings. In: Geometry & Topology, Bd. 22, Nr. 7: S. 3827-3923

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1465-3060
• Sprache: Englisch