Two-Sided Bounds for the Complexity of Hyperbolic Three-Manifolds with Geodesic Boundary

被引：3

作者：

Vesnin, A. Yu. ^{[1
,2
]}

Fominykh, E. A. ^{[3
,4
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

[2] Omsk State Tech Univ, Omsk 644050, Russia

[3] Chelyabinsk State Univ, Chelyabinsk 454001, Russia

[4] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2014年 / 286卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

MINIMAL TRIANGULATIONS; EXACT VALUES; COVERINGS; MANIFOLDS; FAMILY;

D O I：

10.1134/S0081543814060042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an infinite family of hyperbolic three-manifolds with geodesic boundary that generalize the Thurston and Paoluzzi-Zimmermann manifolds. For the manifolds of this family, we present two-sided bounds for their complexity.

引用

页码：55 / 64

页数：10

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