An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds

Authors:	Masaaki Wada Yasushi Yamashita Han Yoshida

Affiliation:	Faculty of Science, Nara Women's University, Kita-Uoya Nishimachi, Nara 630, Japan ; Faculty of Science, Nara Women's University, Kita-Uoya Nishimachi, Nara 630, Japan ; Faculty of Science, Nara Women's University, Kita-Uoya Nishimachi, Nara 630, Japan

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 be a hyperbolic 3-manifold obtained by identifying the faces of convex ideal polyhedra $P_{1},dots ,P_{n}$ . If the faces of $P_{1},dots ,P_{n-1}$ are glued to $P_{n}$ , then can be decomposed into ideal tetrahedra by subdividing the $P_{i}$ 's.

Keywords:	Hyperbolic 3-manifold triangulation

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