|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Totally geodesic
hyperbolic 3-manifolds in hyperbolic link complements of tori
in $S^4$
Michelle Chu and Alan W. Reid |
|
Vol. 325 (2023), No. 2, 191–207
|
 |
Abstract |
|
We prove that certain hyperbolic link complements of -tori in do not contain closed embedded totally geodesic hyperbolic -manifolds. |
Keywords
cusped hyperbolic manifold, arithmetic manifold, totally
geodesic submanifold
|
Mathematical Subject Classification
Primary: 57K32, 57K45
Secondary: 57K40
|
Milestones
Received: 10 March 2022
Revised: 14 August 2023
Accepted: 14 August 2023
Published: 3 November 2023
|
Authors |
| Michelle Chu | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
|
| Alan W. Reid | |
| Department of Mathematics Rice University Houston, TX United States |
|
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
