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TWISTED FACE-PAIRING 3-MANIFOLDS WHICH ARE HYPERBOLIC

Authors
Hong, SungbokLee, Kyunghwa
Issue Date
Nov-2010
Publisher
KOREAN MATHEMATICAL SOC
Keywords
twisted face-pairing; faceted 3-ball; twisted face-pairing 3-manifolds; Takahashi manifolds
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.47, no.6, pp.1297 - 1310
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
47
Number
6
Start Page
1297
End Page
1310
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/115436
DOI
10.4134/BKMS.2010.47.6.1297
ISSN
1015-8634
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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