English

Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in $S^4$

Geometric Topology 2023-11-08 v2

Abstract

In this paper we prove that certain hyperbolic link complements of 22-tori in S4S^4 do not contain closed embedded totally geodesic hyperbolic 33-manifolds.

Keywords

Cite

@article{arxiv.2109.01687,
  title  = {Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in $S^4$},
  author = {Michelle Chu and Alan W. Reid},
  journal= {arXiv preprint arXiv:2109.01687},
  year   = {2023}
}

Comments

18 pages. arXiv admin note: text overlap with arXiv:2005.11256