Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds
Analysis of PDEs
2025-09-08 v3 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2308.04565,
title = {Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds},
author = {Antonio De Rosa and Robin Neumayer},
journal= {arXiv preprint arXiv:2308.04565},
year = {2025}
}