Twisted face-pairing 3-manifolds which are hyperbolic

Sungbok Hong; Kyunghwa Lee

doi:10.4134/BKMS.2010.47.6.1297

Twisted face-pairing 3-manifolds which are hyperbolic

Sungbok Hong, Kyunghwa Lee

Department of Mathematics

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

Abstract

We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.

Original language	English
Pages (from-to)	1297-1310
Number of pages	14
Journal	Bulletin of the Korean Mathematical Society
Volume	47
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.2010.47.6.1297
Publication status	Published - 2010

Keywords

Faceted 3-ball
Takahashi manifolds
Twisted face-pairing
Twisted face-pairing 3-manifolds

ASJC Scopus subject areas

Mathematics(all)

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10.4134/BKMS.2010.47.6.1297

Cite this

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title = "Twisted face-pairing 3-manifolds which are hyperbolic",

abstract = "We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.",

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author = "Sungbok Hong and Kyunghwa Lee",

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AB - We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.

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KW - Takahashi manifolds

KW - Twisted face-pairing

KW - Twisted face-pairing 3-manifolds

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JO - Bulletin of the Korean Mathematical Society

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Twisted face-pairing 3-manifolds which are hyperbolic

Abstract

Keywords

ASJC Scopus subject areas

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