The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics

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dc.creatorJurdjevic, Velimir
dc.date2007-08-09
dc.date.accessioned2026-07-07T08:22:52Z
dc.date.available2026-07-07T08:22:52Z
dc.descriptionThis paper defines a symplectic form on the infinite dimensional Fréchet manifold of framed curves of fixed length over a simply connected Riemannian manifold of constant curvature. The paper then considers Hamiltonian systems generated by the geometric invariants of the curves on the base manifold and relates them to the equations of mathematical physics.
dc.identifierhttps://arxiv.org/abs/0708.1202
dc.identifierhttp://arxiv.org/abs/0708.1202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135801
dc.subjectSymplectic Geometry
dc.subjectAnalysis of PDEs
dc.subject57R19, 58B25
dc.titleThe symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics
dc.typetext

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