Isoperimetric inequalities of euclidean type in metric spaces
Functional Analysis
2007-05-23 v1 Metric Geometry
Abstract
In this paper we prove an isoperimetric inequality of euclidean type for complete metric spaces admitting a cone-type inequality. These include all Banach spaces and all complete, simply-connected metric spaces of non-positive curvature in the sense of Alexandrov or, more generally, of Busemann. The main theorem generalizes results of Gromov and Ambrosio-Kirchheim.
Keywords
Cite
@article{arxiv.math/0306089,
title = {Isoperimetric inequalities of euclidean type in metric spaces},
author = {Stefan Wenger},
journal= {arXiv preprint arXiv:math/0306089},
year = {2007}
}