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Discrete subgroups of
small critical exponent
Beibei Liu and Shi Wang |
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Geometry & Topology 27 (2023) 2347–2381
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Abstract |
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We prove that finitely generated Kleinian groups with small critical exponent are always convex cocompact. We also prove some geometric properties for any complete pinched negatively curved manifold with critical exponent less than . |
Keywords
discrete subgroups, critical exponent, convex compactness
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Mathematical Subject Classification
Primary: 22E40
Secondary: 20F65
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References |
Publication
Received: 17 May 2021
Revised: 19 March 2022
Accepted: 2 April 2022
Published: 25 August 2023
Proposed: David Gabai
Seconded: David Fisher, Benson Farb
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Authors |
| Beibei Liu | |
| Department of Mathematics The Ohio State University Columbus, OH United States |
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| Shi Wang | |
| Institute of Mathematical
Sciences ShanghaiTech University Shanghai China |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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