期刊论文

Wang, X.

英文

Geometriae Dedicata

0046-5755

2011

155

1

21-30

10.1007/s10711-011-9576-1

Acknowledgements Most of this work was finished while the first author was a visiting Ph.D. student in the University of Durham. He is grateful to professor John R. Parker for his valuable help. He also would like to thank Dr. I. Adeboye for explaining his paper [1] to him. The research was partly supported by NSF of China (No. 11071063), NSF of Hunan (No. 10JJ4005) and the program of Hengyang City (No. 2010KJ22) and the program for science and technology innovative research team in higher educational institutions of Hunan province. All of the authors heartily thank the referee for pointing out some errors in the first version of this paper.

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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. © 2...