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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-22,
author = {Paul Popescu and Marcela Popescu},
title = {Lagrangians and hamiltonians on affine bundles and higher order geometry},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {451-469},
zbl = {1123.53040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-22}
}
Paul Popescu; Marcela Popescu. Lagrangians and hamiltonians on affine bundles and higher order geometry. Banach Center Publications, Tome 75 (2007) pp. 451-469. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-22/