Ideal tetrahedral decompositions of hyperbolic 3-manifolds
type: Item
instance of: scholarly article
title: Ideal tetrahedral decompositions of hyperbolic 3-manifolds
zbMATH Open document ID: 0864.57018
author: Han Yoshida
published in: Osaka Journal of Mathematics
publication date: 1996-07-14T00:00:00Z
review text: The author gives a partial (affirmative) answer to a well-known conjecture that every finite-volume noncompact hyperbolic 3-manifold admits a decomposition into ideal tetrahedra. This answer is based on the fact due to \textit{D. B. A. Epstein} and \textit{R. C. Penner} [J. Differ. Geom. 27, 67-80 (1988; Zbl 0611.53036)] that such manifolds always admit decompositions into convex ideal polyhedra. Actually, the author proves the conjecture for manifolds that can be decomposed into two ideal polyhedra. Previously in 1994, M. Wada proved this conjecture (unpublished) for manifolds obtained by glueing of sides of one ideal polyhedron.
reviewed by: Boris N. Apanasov
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 902853
zbMATH Keywords: volume
zbMATH Keywords: hyperbolic 3-manifold
zbMATH Keywords: ideal tetrahedra
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 902853