Integral formulas for hypersurfaces in cones and related questions
Analysis of PDEs
2025-04-18 v1
Abstract
We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provided in [3]. Then we study rigidity results for constant mean curvature graphs proving the precise statement of a result given in [9] and [10]. Finally we provide an integral estimate for stable constant mean curvature hypersurfaces in cones.
Keywords
Cite
@article{arxiv.2504.13137,
title = {Integral formulas for hypersurfaces in cones and related questions},
author = {Filomena Pacella and Giulio Tralli},
journal= {arXiv preprint arXiv:2504.13137},
year = {2025}
}