Regularity of sets of least perimeter in Riemannian manifolds

Aidan Backus

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arXiv · 2306.09603

Regularity of sets of least perimeter in Riemannian manifolds

Aidan Backus

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Abstract

We give a short proof, in the tradition of the classical work of de Giorgi and Miranda on flat space, that the reduced boundary of a set of least perimeter in a Riemannian manifold of dimension $\leq 7$ is a smooth minimal hypersurfaces.

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Aidan Backus. 2023-06-16. Regularity of sets of least perimeter in Riemannian manifolds. https://arxiv.org/abs/2306.09603

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