Calculus of Variations and Geometric Measure Theory

S. Nardulli

Regularity of isoperimetric regions that are close to a smooth manifold

created by nardulli on 19 Oct 2017
modified on 31 Jul 2019


Published Paper

Inserted: 19 oct 2017
Last Updated: 31 jul 2019

Journal: Bulletin of the Brazilian Mathematical Society
Pages: 75
Year: 2018


In this article we give some regularity results for the boundary of isoperimetric regions in a smooth complete Riemannian manifold with variable metric under suitable bounded geometry conditions, using the theory of regularity of Allard.

Keywords: Metric Geometry, Geometric Measure Theory