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2021 Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds
Michelle Chu, Alan W Reid
Algebr. Geom. Topol. 21(5): 2627-2647 (2021). 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.

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Michelle Chu. Alan W Reid. "Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds." Algebr. Geom. Topol. 21 (5) 2627 - 2647, 2021. https://doi.org/10.2140/agt.2021.21.2627

Information

Received: 29 May 2020; Revised: 9 October 2020; Accepted: 9 November 2020; Published: 2021
First available in Project Euclid: 29 November 2021

MathSciNet: MR4334521
zbMATH: 1478.57025
Digital Object Identifier: 10.2140/agt.2021.21.2627

Subjects:
Primary: 57M50
Secondary: 57K40

Keywords: arithmetic , cusped hyperbolic manifold , totally geodesic

Rights: Copyright © 2021 Mathematical Sciences Publishers

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