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Isoperimetric inequalities of euclidean type in metric spaces

Stefan Wenger
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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.

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Stefan Wenger. 2003-06-05. Isoperimetric inequalities of euclidean type in metric spaces. https://arxiv.org/abs/math/0306089

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