Bundle-theoretic methods for higher-order variational calculus

Micha{\l} J\'o\'zwikowski; Miko{\l}aj Rotkiewicz

arxiv: 1306.3097 · v3 · pith:XCS5BCGEnew · submitted 2013-06-13 · 🧮 math.DG · math-ph· math.MP

Bundle-theoretic methods for higher-order variational calculus

Micha{\l} J\'o\'zwikowski , Miko{\l}aj Rotkiewicz This is my paper

classification 🧮 math.DG math-phmath.MP

keywords calculusgeometrichigher-ordervariationalapplicationarbitrarybundlebundle-theoretic

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We present a geometric interpretation of the integration-by-parts formula on an arbitrary vector bundle. As an application we give a new geometric formulation of higher-order variational calculus.

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Bundle-theoretic methods for higher-order variational calculus

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