60 citations · 86 across the 3 of their papers we have counts for
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math-ph2014★ 60 cited
Methods of Differential Geometry in Classical Field Theories: k-symplectic and k-cosymplectic approaches
M. de León, M. Salgado, S. Vilariño
This book is devoted to review two of the most relevant approaches to the study of classical field theories of first order, say k-symplectic and k-cosymplectic. In the last part, w…
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.