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

Michelle Chu; Alan W. Reid

doi:10.2140/agt.2021.21.2627

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

Michelle Chu, Alan W. Reid

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	2627-2647
Number of pages	21
Journal	Algebraic and Geometric Topology
Volume	21
Issue number	5
DOIs	https://doi.org/10.2140/agt.2021.21.2627
State	Published - 2021
Externally published	Yes

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title = "Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds",

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

author = "Michelle Chu and Reid, {Alan W.}",

year = "2021",

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

Abstract

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