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On the notion of Jacobi fields in constrained calculus of variations

Enrico MassaEnrico Pagani — 2016

Communications in Mathematics

In variational calculus, the minimality of a given functional under arbitrary deformations with fixed end-points is established through an analysis of the so called . In this paper, the argument is examined in the context of constrained variational calculus, assuming piecewise differentiable extremals, commonly referred to as . The approach relies on the existence of a fully covariant representation of the second variation of the action functional, based on a family of gauge transformations of...

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