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What is Isoperimetric Inequalities in Metric Spaces about?
This paper establishes an isoperimetric inequality of Euclidean type for complete metric spaces that exhibit a cone-type inequality, encompassing Banach spaces and complete simply-connected metric spaces of non-positive curvature. The main theorem asserts that such spaces admit an isoperimetric inequality for various classes of surfaces, thus providing solutions to the Plateau problem in specific contexts. The findings extend previous results and confirm that all Banach spaces satisfy this isoperimetric ine
- Author
- bjrchlch
- Language
- EN