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Embedding closed
hyperbolic $3$–manifolds in small volume hyperbolic
$4$–manifolds
Michelle Chu and Alan W Reid |
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Algebraic & Geometric Topology 21 (2021) 2627–2647
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Abstract |
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We study existence and lack thereof of closed, embedded, orientable, codimension one, totally geodesic submanifolds of minimal volume, cusped, orientable, hyperbolic manifolds. |
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Keywords
cusped hyperbolic manifold, totally geodesic, arithmetic
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Mathematical Subject Classification
Primary: 57M50
Secondary: 57K40
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References |
Publication
Received: 29 May 2020
Revised: 9 October 2020
Accepted: 9 November 2020
Published: 31 October 2021
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Authors |
| Michelle Chu | |
| Department of Mathematics,
Statistics, and Computer Science University of Illinois at Chicago Chicago, IL United States |
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| Alan W Reid | |
| Department of Mathematics Rice University Houston, TX United States |
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