Constrained variational calculus: the second variation (part I)

Physics – Mathematical Physics

Scientific paper

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35 pages

Scientific paper

This paper is a direct continuation of arXiv:0705.2362 . The Hamiltonian
aspects of the theory are further developed. Within the framework provided by
the first paper, the problem of minimality for constrained calculus of
variations is analyzed among the class of differentiable curves. A necessary
and sufficient condition for minimality is proved.

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