Balls in complex hyperbolic manifolds

Details Balls in complex hyperbolic manifolds Balls in complex hyperbolic manifolds

2012-03-16

arxiv.org/abs/1203.3610v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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 $G\subset PU(n,1)$ acting on complex hyperbolic space. Consequently the
volume of all complex hyperbolic n-manifolds is bounded below by the volume of
this ball.

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