An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds
An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds
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多面体不等式与尖双曲3-流形的理想三角剖分
DOI：
10.1090/s0002-9939-96-03563-0
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发表时间：
1996
影响因子：
6.1
通讯作者：
H. Yoshida
中科院分区：
文献类型：
--
作者：
Masaaki Wada;Y. Yamashita;H. Yoshida
不知道是否每个有限体积的非紧双曲三维流形都能分解成理想四面体。我们给出了这个问题的部分解：设M是通过识别n个凸理想多面体P1，.的面而获得的双曲3-流形。. .，Pn。如果P1，. . .，Pn−1与Pn粘合，则M可以通过细分Pi分解为理想四面体。
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 P1, . . . , Pn. If the faces of P1, . . . , Pn−1 are glued to Pn, then M can be decomposed into ideal tetrahedra by subdividing the Pi’s.