Nonclassical Lagrangian Dynamics and Potential Maps

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dc.creatorUdriste, Constantin
dc.date2000-07-10
dc.date.accessioned2026-07-07T04:36:19Z
dc.date.available2026-07-07T04:36:19Z
dc.descriptionSection 1 refines the theory of harmonic and potential maps. Section 2 defines a generalized Lorentz world-force law and shows that any PDEs system of order one generates such a law in suitable geometrical structure. In other words, the solutions of any PDEs system of order one are harmonic or potential maps, if we use semi-Riemann-Lagrange structures. Section 3 formulates open problems regarding the geometry of semi-Riemann manifolds $(J^1(T,M), S_1)$, $(J^2(T,M), S_2)$, and shows that the Lorentz-Udriste world-force law is equivalent to covariant Hamilton PDEs on $(J^1(T,M), S_1)$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0007060
dc.identifierhttp://arxiv.org/abs/math/0007060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59554
dc.subjectDynamical Systems
dc.subject31C12, 53C43, 58E20, 58J60
dc.titleNonclassical Lagrangian Dynamics and Potential Maps
dc.typetext

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