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Sublinearly Morse
geodesics in CAT(0) spaces: lower divergence and hyperplane
characterization
Devin Murray, Yulan Qing and Abdul Zalloum |
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Algebraic & Geometric Topology 22 (2022) 1337–1374
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Abstract |
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We introduce the notion of –lower divergence for geodesic rays in CAT(0) spaces. Building on work of Charney and Sultan, we give various characterizations of –contracting geodesic rays using –lower divergence and –slim triangles. We also characterize –contracting geodesic rays in CAT(0) cube complexes using sequences of well-separated hyperplanes. |
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Keywords
boundary, CAT(0) cube complex, sublinearly Morse
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Mathematical Subject Classification
Primary: 57M60
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References |
Publication
Received: 4 October 2020
Revised: 5 April 2021
Accepted: 5 July 2021
Published: 25 August 2022
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Authors |
| Devin Murray | |
| Department of Mathematics University of Hawaii at Manoa Honolulu, HI United States |
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| Yulan Qing | |
| Shanghai Center for Mathematical
Sciences Fudan University Shanghai China |
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| Abdul Zalloum | |
| Department of Mathematics and
Statistics Queen’s University Kinston, ON Canada |
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