On the stability of the Wulff shape
Differential Geometry
2015-11-17 v1
Abstract
Given a positive function F on S n satisfying an appropriate con-vexity assumption, we consider hypersurfaces for which a linear combination of some higher order anisotropic curvatures is constant. We define the varia-tional problem for which these hypersurfaces are critical points and we prove that, up to translations and homotheties, the Wulff shape is the only stable closed hypersurface of the Euclidean space for this problem.
Keywords
Cite
@article{arxiv.1511.04718,
title = {On the stability of the Wulff shape},
author = {Julien Roth},
journal= {arXiv preprint arXiv:1511.04718},
year = {2015}
}