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arxiv: 1510.02762 · v1 · pith:DBOFPGOFnew · submitted 2015-10-09 · 🧮 math.SG · math-ph· math.MP

The projective symplectic geometry of higher order variational problems: minimality conditions

classification 🧮 math.SG math-phmath.MP
keywords curveshigherminimalityorderproblemsvariationalassociatecoisotropic
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We associate curves of isotropic, Lagrangian and coisotropic subspaces to higher order, one parameter variational problems. Minimality and conjugacy properties of extremals are described in terms of these curves.

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