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Convex cocompact actions
of relatively hyperbolic groups
Mitul Islam and Andrew Zimmer |
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Geometry & Topology 27 (2023) 417–511
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Abstract |
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We consider discrete groups in acting convex cocompactly on a properly convex domain in real projective space. For such groups, we establish necessary and sufficient conditions for the group to be relatively hyperbolic in terms of the geometry of the convex domain. This answers a question of Danciger, Guéritaud and Kassel and is analogous to a result of Hruska and Kleiner for spaces. |
Keywords
convex real projective manifolds, relatively hyperbolic
groups
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Mathematical Subject Classification 2010
Primary: 20F67, 20H10, 22E40
Secondary: 53A20, 57N16
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References |
Publication
Received: 28 October 2019
Revised: 20 July 2021
Accepted: 2 October 2021
Published: 16 May 2023
Proposed: Anna Wienhard
Seconded: Mladen Bestvina, Martin R Bridson
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Authors |
| Mitul Islam | |
| Department of Mathematics University of Michigan Ann Arbor, MI United States |
Mathematisches Institut Heidelberg University Heidelberg Germany |
| Andrew Zimmer | |
| Department of Mathematics Louisiana State University Baton Rouge, LA United States |
Department of Mathematics University of Wisconsin, Madison Madison, WI United States |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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