Coisotropic Variational Problems

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dc.creatorGrant, James D. E.
dc.creatorMusso, Emilio
dc.date2003-07-16
dc.date.accessioned2026-07-07T04:59:41Z
dc.date.available2026-07-07T04:59:41Z
dc.descriptionIn this article we study constrained variational problems in one independent variable defined on the space of integral curves of a Frenet system in a homogeneous space G/H. We prove that if the Lagrangian is G-invariant and coisotropic then the extremal curves can be found by quadratures. Our proof is constructive and relies on the reduction theory for coisotropic optimal control problems. This gives a unified explanation of the integrability of several classical variational problems such as the total squared curvature functional, the projective, conformal and pseudo-conformal arc-length functionals, the Delaunay and the Poincar{é} variational problems.
dc.identifierhttps://arxiv.org/abs/math/0307216
dc.identifierhttp://arxiv.org/abs/math/0307216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68085
dc.subjectDifferential Geometry
dc.subject58A30;53D20;58A10;37K10
dc.titleCoisotropic Variational Problems
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