Geodesic
A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings
Kapovich, Michael1 ; Leeb, Bernhard2 ; Porti, Joan3
1 Department of Mathematics, University of California, Davis, Davis, CA, United States
2 Mathematisches Institut, Universität München, München, Germany
3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain
Geometry & topology, Tome 22 (2018) no. 7, pp. 3827-3923.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2018.22.3827
Classification : 53C35, 20F65, 51E24
Keywords: symmetric spaces, buildings, quasigeodesics

Kapovich, Michael 1 ; Leeb, Bernhard 2 ; Porti, Joan 3

1 Department of Mathematics, University of California, Davis, Davis, CA, United States
2 Mathematisches Institut, Universität München, München, Germany
3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain 
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     title = {A {Morse} lemma for quasigeodesics in symmetric spaces and euclidean buildings},
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Kapovich, Michael; Leeb, Bernhard; Porti, Joan. A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings. Geometry & topology, Tome 22 (2018) no. 7, pp. 3827-3923. doi : 10.2140/gt.2018.22.3827. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.3827/

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