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arXiv · 2504.13137

Integral formulas for hypersurfaces in cones and related questions

Filomena Pacella·Giulio Tralli
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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.

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Filomena Pacella, Giulio Tralli. 2025-04-17. Integral formulas for hypersurfaces in cones and related questions. https://arxiv.org/abs/2504.13137

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