Covariant variational evolution and Jacobi brackets: Particles Articles uri icon

publication date

  • May 2020


  • 23(2020001)


  • 35

International Standard Serial Number (ISSN)

  • 0217-7323

Electronic International Standard Serial Number (EISSN)

  • 1793-6632


  • 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.


  • hamiltonian mechanics; jacobi brackets; contact manifolds