Regularity of sets of least perimeter in Riemannian manifolds

Regularity of sets of least perimeter in Riemannian manifolds

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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Veröffentlicht in:arXiv.org 2023-06
1. Verfasser: Backus, Aidan
Format: Artikel
Sprache:eng
Schlagworte:
Hyperspaces
Riemann manifold
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Zusammenfassung: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.
ISSN:2331-8422