Bundle-theoretic methods for higher-order variational calculus

Abstract

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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References in corpus (3)

• Invariant higher-order variational problems
• Graded bundles and homogeneity structures
• Prototypes of higher algebroids with applications to variational calculus

Cited by in corpus (5)

• Prototypes of higher algebroids with applications to variational calculus
• Regularity properties of fiber derivatives associated with higher-order mechanical systems
• Prolongations vs. Tulczyjew triples in Geometric Mechanics
• Duality for graded manifolds
• Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms