AFFINE DUALITY AND LAGRANGIAN AND HAMILTONIAN SYSTEMS Academic Article uri icon

abstract

  • We use affine duals of jet bundles to describe how Legendre maps may be used to provide Hamiltonian representations of variational problems in a single independent variable. Such a problem may be given as a Lagrangian (of first-order or of higher-order), or alternatively as a locally variational form on a jet bundle of arbitrary order with no preferred Lagrangian.

authors

publication date

  • May 2011