Geodesic
Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)
Michael Kapovich1 ; Bernhard Leeb2
1University of California, Davis, USA and KIAS, Seoul, South Korea
2Ludwig-Maximilians-Universität München, Germany
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 1005-1071

Voir la notice de l'article provenant de la source EMS Press

DOI

We propose several common extensions of the classes of Anosov subgroups and geo- metrically finite Kleinian groups among discrete subgroups of semisimple Lie groups. We relativize various dynamical and coarse geometric characterizations of Anosov subgroups given in our earlier work, extending the class from intrinsically hyperbolic to relatively hyperbolic subgroups. We prove implications and equivalences between the various relativizations.
DOI : 10.4171/ggd/723
Classification : 22-XX, 20-XX, 53-XX
Mots-clés : Symmetric spaces, Finsler geometry, discrete groups, Anosov subgroups, relatively hyperbolic groups

Michael Kapovich  1   ; Bernhard Leeb  2

1 University of California, Davis, USA and KIAS, Seoul, South Korea
2 Ludwig-Maximilians-Universität München, Germany 
Michael Kapovich; Bernhard Leeb. Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer). Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 1005-1071. doi: 10.4171/ggd/723
@article{10_4171_ggd_723,
     author = {Michael Kapovich and Bernhard Leeb},
     title = {Relativizing characterizations of {Anosov} subgroups, {I} (with an appendix by {Gregory} {A.} {Soifer)}},
     journal = {Groups, geometry, and dynamics},
     pages = {1005--1071},
     year = {2023},
     volume = {17},
     number = {3},
     doi = {10.4171/ggd/723},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/723/}
}
TY  - JOUR
AU  - Michael Kapovich
AU  - Bernhard Leeb
TI  - Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)
JO  - Groups, geometry, and dynamics
PY  - 2023
SP  - 1005
EP  - 1071
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/723/
DO  - 10.4171/ggd/723
ID  - 10_4171_ggd_723
ER  - 
%0 Journal Article
%A Michael Kapovich
%A Bernhard Leeb
%T Relativizing characterizations of Anosov subgroups, I (with an appendix by Gregory A. Soifer)
%J Groups, geometry, and dynamics
%D 2023
%P 1005-1071
%V 17
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/723/
%R 10.4171/ggd/723
%F 10_4171_ggd_723

Cité par Sources :