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• W3100464897 abstract "In this paper we prove a regularity theorem for isoperimetric regions T that are close in flat norm to an open bounded set B with smooth boundary in a smooth complete (possibly noncompact) n-dimensional Riemannian manifold ( $$M^n,g$$ ) (the dimension n being arbitrary) with Ricci curvature bounded below and volume of balls uniformly bounded below with respect to its center by a positive constant. In fact we prove that under the above assumptions the boundary of T is smooth and is the normal graph of function u whose Hölder norms are controlled by the volume of the symmetric difference $$TDelta B$$ . Moreover we allow the metric g to be variable and obtain a suitable regularity result for applications to the study of the isoperimetric profile." @default.
• W3100464897 created "2020-11-23" @default.
• W3100464897 creator A5042825694 @default.
• W3100464897 date "2017-11-25" @default.
• W3100464897 modified "2023-09-30" @default.
• W3100464897 title "Regularity of Isoperimetric Regions that are Close to a Smooth Manifold" @default.
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• W3100464897 doi "https://doi.org/10.1007/s00574-017-0056-6" @default.
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