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

^*Corresponding author for this work

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

General Mathematics

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10.4134/BKMS.2010.47.6.1297

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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.",

keywords = "Faceted 3-ball, Takahashi manifolds, Twisted face-pairing, Twisted face-pairing 3-manifolds",

author = "Sungbok Hong and Kyunghwa Lee",

year = "2010",

doi = "10.4134/BKMS.2010.47.6.1297",

language = "English",

volume = "47",

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TY - JOUR

T1 - Twisted face-pairing 3-manifolds which are hyperbolic

AU - Hong, Sungbok

AU - Lee, Kyunghwa

PY - 2010

Y1 - 2010

N2 - 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.

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.

KW - Faceted 3-ball

KW - Takahashi manifolds

KW - Twisted face-pairing

KW - Twisted face-pairing 3-manifolds

UR - https://www.scopus.com/pages/publications/78649765654

U2 - 10.4134/BKMS.2010.47.6.1297

DO - 10.4134/BKMS.2010.47.6.1297

M3 - Article

AN - SCOPUS:78649765654

SN - 1015-8634

VL - 47

SP - 1297

EP - 1310

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 6

ER -

Twisted face-pairing 3-manifolds which are hyperbolic

Abstract

Keywords

ASJC Scopus subject areas

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