An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds
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- by Masaaki Wada, Yasushi Yamashita and Han Yoshida PDF
- Proc. Amer. Math. Soc. 124 (1996), 3905-3911 Request permission
Abstract:
It is not known whether every noncompact hyperbolic 3-manifold of finite volume admits a decomposition into ideal tetrahedra. We give a partial solution to this problem: Let $M$ be a hyperbolic 3-manifold obtained by identifying the faces of $n$ convex ideal polyhedra $P_{1},\dots ,P_{n}$. If the faces of $P_{1},\dots ,P_{n-1}$ are glued to $P_{n}$, then $M$ can be decomposed into ideal tetrahedra by subdividing the $P_{i}$’s.References
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- H. Yoshida, Ideal tetrahedral decompositions of hyperbolic 3-manifolds, Osaka J. Math. 33 (1996), 37–46.
Additional Information
- Masaaki Wada
- Affiliation: Faculty of Science, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630, Japan
- Email: wada@ics.nara-wu.ac.jp
- Yasushi Yamashita
- Affiliation: Faculty of Science, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630, Japan
- MR Author ID: 310816
- Email: yamasita@ics.nara-wu.ac.jp
- Han Yoshida
- Affiliation: Faculty of Science, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630, Japan
- MR Author ID: 363065
- Email: han@ics.nara-wu.ac.jp
- Received by editor(s): June 15, 1995
- Communicated by: Ronald Stern
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3905-3911
- MSC (1991): Primary 57Q15, 52B05; Secondary 57M50, 51M20
- DOI: https://doi.org/10.1090/S0002-9939-96-03563-0
- MathSciNet review: 1346992