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A Bound for Diameter of Arithmetic Hyperbolic Orbifolds by Belolipetsky, Mikhail is a scholarly article available to read on EtoBox.

What is A Bound for Diameter of Arithmetic Hyperbolic Orbifolds about?

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 $n$.

Author

Belolipetsky, Mikhail

Published

2020

Language

EN