Balls in complex hyperbolic manifolds
Differential Geometry
2013-04-09 v2
Abstract
In this paper 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 acting on complex hyperbolic space. Consequently the volume of all complex hyperbolic n-manifolds is bounded below by the volume of this ball.
Cite
@article{arxiv.1203.3610,
title = {Balls in complex hyperbolic manifolds},
author = {Baohua Xie and Jieyan Wang and Yueping Jiang},
journal= {arXiv preprint arXiv:1203.3610},
year = {2013}
}
Comments
8 pages