Mathematical Research Letters

Volume 6, Issue 2, March 1999 pp. 151-153.

Volume, Cheeger and Gromov

Authors: Itai Benjamini
Author institution: Weizmann Institute, Rehovot

Summary: It is shown that a manifold of bounded local geometry with Cheeger constant bigger than $h$ and Gromov hyperbolicity constant smaller than $\delta$ has either infinite volume or it's volume is bounded by a function depending only on $h$ and $\delta$ and the bounded geometry parameters.

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