Nonholonomic constraints in $k$-symplectic Classical Field Theories

Simple item page
dc.creatorde Leon, M.
dc.creatorde Diego, D. Martin
dc.creatorSalgado, M.
dc.creatorVilariño, S.
dc.date2008-03-11
dc.date.accessioned2026-07-07T11:49:01Z
dc.date.available2026-07-07T11:49:01Z
dc.descriptionA $k$-symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection operator such that the solutions of the constrained problem are obtained by projecting the solutions of the free problem. Symmetries for the nonholonomic system are introduced and we show that for every such symmetry, there exist a nonholonomic momentum equation. The proposed formalism permits to introduce in a simple way many tools of nonholonomic mechanics to nonholonomic field theories.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0803.1540
dc.identifierhttp://arxiv.org/abs/0803.1540
dc.identifierInt.J.Geom.Meth.Mod.Phys.05:799-830,2008
dc.identifierdoi:10.1142/S0219887808003077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203088
dc.subjectMathematical Physics
dc.subject70F25; 37J60; 70G45
dc.titleNonholonomic constraints in $k$-symplectic Classical Field Theories
dc.typetext

Files

Collections

arXiv