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Regularity of isoperimetric hypersurfaces in Riemannian manifolds
Frank Morgan (Williams College)
Transactions of the American Mathematical Society
DOI: 10.1090/s0002-9947-03-03061-7 (Mathematics)
License: not stated (all rights reserved)
Abstract: We add to the literature the well-known fact that an isoperimetric hypersurface S S of dimension at most six in a smooth Riemannian manifold M M is a smooth submanifold. If the metric is merely Lipschitz, then S S is still Hölder differentiable.
Published on 28 Jul. 2003