Author:
Creutz Paul,Soultanis Elefterios
Abstract
AbstractWe find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by Lytchak–Wenger, which satisfies a related maximality condition.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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