Covariant Variational Evolution and Jacobi Brackets: Particles
arXiv:2005.04872 · doi:10.1142/S0217732320200011
Abstract
The formulation of covariant brackets on the space of solutions to a variational problem is analyzed in the framework of contact geometry. It is argued that the Poisson algebra on the space of functionals on fields should be read as a Poisson subalgebra within an algebra of functions equipped with a Jacobi bracket on a suitable contact manifold.
16 pages