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.
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页码：767 / 774
页数：8
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