论文标题
大型关键指数的复杂双曲线kleinian组
Complex hyperbolic Kleinian groups of large critical exponents
论文作者
论文摘要
在本文中,我们表明,存在$ 2 $ - 和$ 3 $维的复杂双曲线空间的离散等轴测组,其关键指数任意接近,但严格小于最大值的最大值。该结果显示复杂双曲线kleinian组的关键指数值没有差距。
In this article, we show that there exist discrete isometry groups of the $2$- and $3$-dimensional complex hyperbolic spaces with critical exponents arbitrarily close to but strictly smaller than the maximum possible value. This result shows no gap in the values of critical exponents for complex hyperbolic Kleinian groups.