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TWISTED FACE-PAIRING 3-MANIFOLDS WHICH ARE HYPERBOLIC

  • Hong, Sung-Bok ;
  • Lee, Kyung-Hwa
  • Received : 2009.05.07
  • Published : 2010.11.30

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

twisted face-pairing;faceted 3-ball;twisted face-pairing 3-manifolds;Takahashi manifolds

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