Equivalence of Geometric and Combinatorial Dehn Functions
Group Theory
2007-05-23 v1 Differential Geometry
Abstract
We prove that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the Dehn function of the group and the corresponding filling function of the manifold are equivalent, in a sense described below.
Cite
@article{arxiv.math/0103081,
title = {Equivalence of Geometric and Combinatorial Dehn Functions},
author = {Jose Burillo and Jennifer Taback},
journal= {arXiv preprint arXiv:math/0103081},
year = {2007}
}