Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds

Details Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds

2011-10-21

arxiv.org/abs/1110.4778v2

Mathematics

Differential Geometry

preprint, 27 pages

Scientific paper

A description of classical field theories of first order in terms of Lagrangian submanifolds of premultisymplectic manifolds is presented. For this purpose, a Tulczyjew's triple associated with a fibration is discussed. The triple is adapted to the extended Hamiltonian formalism. Using this triple, we prove that Euler-Lagrange and Hamilton-De Donder-Weyl equations are the local equations defining Lagrangian submanifolds of a premultisymplectic manifold.

Affiliated with

Also associated with

No associations

Rating

Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85310