Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds

Chu, Michelle; Reid, Alan W

doi:10.2140/agt.2021.21.2627

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Embedding closed hyperbolic $3$–manifolds in small volume hyperbolic $4$–manifolds

Michelle Chu and Alan W Reid

Algebraic & Geometric Topology 21 (2021) 2627–2647

DOI: 10.2140/agt.2021.21.2627

Abstract

We study existence and lack thereof of closed, embedded, orientable, codimension one, totally geodesic submanifolds of minimal volume, cusped, orientable, hyperbolic manifolds.

Keywords

cusped hyperbolic manifold, totally geodesic, arithmetic

Mathematical Subject Classification

Primary: 57M50

Secondary: 57K40

References

Publication

Received: 29 May 2020

Revised: 9 October 2020

Accepted: 9 November 2020

Published: 31 October 2021

Authors

Michelle Chu
Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago Chicago, IL United States

Alan W Reid
Department of Mathematics Rice University Houston, TX United States

Volume 21, issue 5 (2021)