A lower bound for the volumes of complex hyperbolic orbifolds

作者：Fu, X.; Li, L.; Wang, X.^*

来源：Geometriae Dedicata, 2011, 155(1): 21-30.

DOI：10.1007/s10711-011-9576-1

• Orbifold
• Elliptic element
• Volume

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.

• 出版日期2011-12
• 单位湖南师范大学; 衡阳师范学院