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arxiv: 1203.3610 · v2 · pith:I5CJBCF5new · submitted 2012-03-16 · 🧮 math.DG

Balls in complex hyperbolic manifolds

classification 🧮 math.DG
keywords complexhyperbolicballvolumeactingballsbelowbergman
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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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