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

Abstract

In this paper we prove that certain hyperbolic link complements of $2$-tori in $S^4$ do not contain closed embedded totally geodesic hyperbolic $3$-manifolds.

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

References in corpus (2)

• Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure
• Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds