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A lower bound for the volumes of complex hyperbolic orbifolds

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Abstract

In this paper, an explicit formula for a lower bound for the volumes of complex hyperbolic orbifolds depending on the dimension and the maximal order of torsion elements in their fundamental groups is obtained. This generalizes Adeboye (Pac. J. Math. 237:1–19 2008, Theorem 1) to the setting of complex hyperbolic spaces.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, 410081, Changsha, Hunan, People’s Republic of China

    X. Fu & X. Wang

  2. Department of Mathematics, Hengyang Normal University, 421008, Hengyang, Hunan, People’s Republic of China

    L. Li

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  1. X. Fu
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  2. L. Li
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  3. X. Wang
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Correspondence to X. Wang.

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Fu, X., Li, L. & Wang, X. A lower bound for the volumes of complex hyperbolic orbifolds. Geom Dedicata 155, 21–30 (2011). https://doi.org/10.1007/s10711-011-9576-1

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  • DOI: https://doi.org/10.1007/s10711-011-9576-1

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