A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

Kapovich, Michael; Leeb, Bernhard; Porti, Joan (2018): A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings. In: Geometry & Topology, Vol. 22, No. 7: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1465-3060
• Language: English