Boris Kolev
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Related Articles from SNS
Minimal surfaces: A Lagrangian derivation of first and second variations
Differential Geometry [Submitted on 4 Jun 2026] Title:Minimal surfaces: A Lagrangian derivation of first and second variations View PDFAbstract: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.