Balls in complex hyperbolic manifolds

被引：2

作者：

Xie BaoHua ^{[1
]}

Wang JieYan ^{[1
]}

Jiang YuePing ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 04期

基金：

中国国家自然科学基金;

关键词：

embedded ball; complex hyperbolic manifolds; volume; VOLUMES; DISCRETENESS;

D O I：

10.1007/s11425-013-4765-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We get an explicit lower bound for the radius of a Bergman ball contained in the Dirichlet fundamental polyhedron of a torsion free discrete group G aS, PU(n, 1) acting on complex hyperbolic space. As an application, we also give a lower bound for the volumes of complex hyperbolic n-manifolds.

引用

页码：767 / 774

页数：8

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