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arXiv · 2608.03431

Variation formulas for mean curvature functionals

Simone Verzellesi
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Abstract

We establish first and second variation formulas for general mean curvature functionals under arbitrary variations in arbitrary Riemannian manifolds. We obtain corresponding formulas in the sub-Riemannian Heisenberg group through a Riemannian approximation scheme.

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Simone Verzellesi. 2026-08-04. Variation formulas for mean curvature functionals. https://arxiv.org/abs/2608.03431

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