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math.DG2026
Minimal surfaces: A Lagrangian derivation of first and second variations
Romain Lloria, Boris Kolev
This article develops a rigorous Lagrangian formulation of variational calculus for minimal surfaces, using extensively the concept of pullback covariant derivative. It is shown, i…
math.DG2026
The linear Elasticity complex: a natural formulation
Romain Lloria, Boris Kolev
We reformulate the Elasticity complex and Saint-Venant's compatibility condition using the generalized differential complex of Dubois-Violette-Henneaux. This is just a slight and n…