Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds

Antonio De Rosa, Robin Neumayer

Published: 2023/8/8

Abstract

Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume.