2003/02/11 by Manuel de León, David Martı́n de Diego, de Leon, M. +5 · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Advanced Differential Geometry Research #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.math-ph/0302026
In this paper the notion of Tulczyjew's triples in classical mechanics is\nextended to classical field theories, using the so-called multisymplectic\nformalism, and a convenient notion of lagrangian submanifold in multisymplectic\ngeometry. Accordingly, the dynamical equations are interpreted as the local\nequations defining these lagrangian submanifolds.\n