Abstract
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 ⊂ 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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Xie, B., Wang, J. & Jiang, Y. Balls in complex hyperbolic manifolds. Sci. China Math. 57, 767–774 (2014). https://doi.org/10.1007/s11425-013-4765-z
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DOI: https://doi.org/10.1007/s11425-013-4765-z