Systole and inradius non-compact hyperbolic manifolds

被引：5

作者：

Gendulphe, Matthieu ^{[1
]}

机构：

[1] Univ Fribourg, Dept Math, CH-1700 Fribourg, Perolles, Switzerland

来源：

GEOMETRY & TOPOLOGY | 2015年 / 19卷 / 04期

关键词：

DISCRETE-GROUPS; INJECTIVITY RADIUS; VOLUME; SUBGROUPS; CONSTANT; BALL; ISOMETRIES; PACKING; SPACES;

D O I：

10.2140/gt.2015.19.2039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We bound two global invariants of cusped hyperbolic manifolds: the length of the shortest closed geodesic (the systole), and the radius of the biggest embedded ball (the inradius). We give an upper bound for the systole, expressed in terms of the dimension and simplicial volume. We find a positive lower bound on the inradius independent of the dimension. These bounds are sharp in dimension 3, realized by the Gieseking manifold. They provide a new characterization of this manifold.

引用

页码：2039 / 2080

页数：42

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