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arXiv · 2606.05969

Minimal surfaces: A Lagrangian derivation of first and second variations

Romain Lloria·Boris Kolev
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Abstract

This article develops a rigorous Lagrangian formulation of variational calculus for minimal surfaces, using extensively the concept of pullback covariant derivative. It is shown, in particular, using a geometric argument that all tangential variations vanish. First and second normal variations are then derived.

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Romain Lloria, Boris Kolev. 2026-06-04. Minimal surfaces: A Lagrangian derivation of first and second variations. https://arxiv.org/abs/2606.05969

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