77 citations · 818 across the 61 of their papers we have counts for
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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-ph2010★ 4 cited
Constrained Variational Calculus for Higher Order Classical Field Theories
Cedric M. Campos, Manuel de Leon, David Martin de Diego
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism…