THE MINIMAL VOLUME ORIENTABLE HYPERBOLIC 3-MANIFOLD WITH 4 CUSPS

被引：9

作者：

Yoshida, Ken'ichi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2013年 / 266卷 / 02期

关键词：

hyperbolic; 3-manifold; essential surface; geodesic boundary; MANIFOLDS; SURFACES;

D O I：

10.2140/pjm.2013.266.457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the 8(2)(4) link complement is the minimal volume orientable hyperbolic manifold with 4 cusps. Its volume is twice the volume V-8 of the ideal regular octahedron; that is, 7.32 ... = 2V(8). The proof relies on Agol's argument used to determine the minimal volume hyperbolic 3-manifolds with 2 cusps. We also need to estimate the volume of a hyperbolic 3-manifold with totally geodesic boundary which contains an essential surface with non-separating boundary.

引用

页码：457 / 476

页数：20

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