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Nonholonomic constraints in k-symplectic Classical Field Theories

AutorLeón, Manuel de; Martín de Diego, David; Salgado, Modesto; Vilariño, Silvia
Palabras claveNonholonomic constraints
Classical field theories
k-symplectic formalism
Nonholonomic Momentum Map
Fecha de publicación11-mar-2008
CitaciónarXiv:0803.1540v1 [math-ph]
ResumenA 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.
Descripción27 pages.-- MSC classes: 70F25; 37J60; 70G45.
URIhttp://hdl.handle.net/10261/4167
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