论文标题
算术双曲线直径的结合
A bound for diameter of arithmetic hyperbolic orbifolds
论文作者
论文摘要
令$ o $为封闭的$ n $二维算术（真实或复杂）双曲线。我们表明，$ o $的直径在上面由$$ \ frac {c_1 \ log vol（o） + c_2} {h（o）}，$$，其中$ h（o）$是$ o $，$ o $，$ vol（o）$的cheeger常数，$ o $，$ c_1 $，$ c_1 $，$ c_2 $依赖于$ n $。
Let $O$ be a closed $n$-dimensional arithmetic (real or complex) hyperbolic orbifold. We show that the diameter of $O$ is bounded above by $$\frac{c_1\log vol(O) + c_2}{h(O)},$$ where $h(O)$ is the Cheeger constant of $O$, $vol(O)$ is its volume, and constants $c_1$, $c_2$ depend only on $n$.
