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Nonholonomic constraints in k-symplectic Classical Field Theories

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dc.creator León, Manuel de
dc.creator Martín de Diego, David
dc.creator Salgado, Modesto
dc.creator Vilariño, Silvia
dc.date 2008-05-12T12:34:32Z
dc.date 2008-05-12T12:34:32Z
dc.date 2008-03-11
dc.date.accessioned 2017-01-31T01:14:58Z
dc.date.available 2017-01-31T01:14:58Z
dc.identifier arXiv:0803.1540v1 [math-ph]
dc.identifier http://hdl.handle.net/10261/4167
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4167
dc.description 27 pages.-- MSC classes: 70F25; 37J60; 70G45.
dc.description A 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.description This work has been partially supported by MEC (Spain) Grant MTM 2007-62478, project “IngenioMathematica” (i-MATH) No. CSD 2006-00032 (Consolider-Ingenio 2010) and S-0505/ESP/0158 of the CAM. Silvia Vilariño acknowledges the financial support of Xunta de Galicia Grants IN840C 2006/119-0 and IN809A 2007/151-0.
dc.description Peer reviewed
dc.format 348646 bytes
dc.format application/pdf
dc.language eng
dc.relation Preprint
dc.rights openAccess
dc.subject Nonholonomic constraints
dc.subject Classical field theories
dc.subject k-symplectic formalism
dc.subject Nonholonomic Momentum Map
dc.title Nonholonomic constraints in k-symplectic Classical Field Theories
dc.type Pre-print

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