Calculus of Variations and Geometric Measure Theory

S. Verzellesi

Variation formulas for mean curvature functionals

created by verzellesi on 05 Aug 2026

[BibTeX]

Preprint

Inserted: 5 aug 2026
Last Updated: 5 aug 2026

Year: 2026
Doi: https://doi.org/10.48550/arXiv.2608.03431

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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