On the structure of Finsler and areal spaces
classification
🧮 math.DG
math-phmath.MP
keywords
functionalsarealfinslervariationaladmitapplicationsdependingextensions
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We study underlying geometric structures for integral variational functionals, depending on submanifolds of a given manifold. Applications include (first order) variational functionals of Finsler and areal geometries with integrand the Hilbert 1-form, and admit immediate extensions to higher-order functionals.
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