60 citations · 107 across the 4 of their papers we have counts for
4 papers
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…
k-symplectic Lie systems: theory and applications
J. de Lucas, S. Vilariño
A Lie system is a system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Li…
Lagrangian submanifolds in k-symplectic settings
M. de León, S. Vilariño
In this paper we extend the well-know normal form theorem for Lagrangian submanifolds proved by A. Weinstein in symplectic geometry to the setting of k-symplectic manifolds.
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.