Lagrangians and hamiltonians on affine bundles and higher order geometry
Volume 76 / 2007
Banach Center Publications 76 (2007), 451-469
MSC: Primary 55R10, 55R25, 53C60; Secondary 70H50, 22A30.
DOI: 10.4064/bc76-0-22
Abstract
The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.
