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arXiv:math/0306089 [math.FA]AbstractReferencesReviewsResources

Isoperimetric inequalities of euclidean type in metric spaces

Stefan Wenger

Published 2003-06-05Version 1

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.

Categories: math.FA, math.MG
Subjects: 49Q15
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