Twisted face-pairing 3-manifolds which are hyperbolic

Sungbok Hong, Kyunghwa Lee

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1297-1310
Number of pages14
JournalBulletin of the Korean Mathematical Society
Volume47
Issue number6
DOIs
Publication statusPublished - 2010 Dec 10

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Pairing
Face
Ball
Cone
Closed
Family

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Twisted face-pairing 3-manifolds which are hyperbolic. / Hong, Sungbok; Lee, Kyunghwa.

In: Bulletin of the Korean Mathematical Society, Vol. 47, No. 6, 10.12.2010, p. 1297-1310.

Research output: Contribution to journalArticle

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