852 citations
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math-ph2010★ 26 cited
Hamilton-Jacobi Theory in k-Symplectic Field Theories
M. De LeÓn, D. MartÍn De Diego, J. C. Marrero +2
In this paper we extend the geometric formalism of Hamilton-Jacobi theory for Mechanics to the case of classical field theories in the k-symplectic framework.
math-ph2009★ 11 cited
K-symplectic formalism on Lie algebroids
M. de Leon, D. Martin de Diego, M. Salgado +1
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of k-symplectic geometry. We discuss th…
math-ph2008★ 2 cited
Nonholonomic constraints in -symplectic Classical Field Theories
M. de Leon, D. Martin de Diego, M. Salgado +1
A -symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection opera…