Lagrangians and hamiltonians on affine bundles and higher order geometry

Paul Popescu; Marcela Popescu

Banach Center Publications (2007)

  • Volume: 76, Issue: 1, page 451-469
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Paul Popescu, and Marcela Popescu. "Lagrangians and hamiltonians on affine bundles and higher order geometry." Banach Center Publications 76.1 (2007): 451-469. <http://eudml.org/doc/282581>.

@article{PaulPopescu2007,
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.},
author = {Paul Popescu, Marcela Popescu},
journal = {Banach Center Publications},
keywords = {anchored affine bundles; Legendre map},
language = {eng},
number = {1},
pages = {451-469},
title = {Lagrangians and hamiltonians on affine bundles and higher order geometry},
url = {http://eudml.org/doc/282581},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Paul Popescu
AU - Marcela Popescu
TI - Lagrangians and hamiltonians on affine bundles and higher order geometry
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 451
EP - 469
AB - 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.
LA - eng
KW - anchored affine bundles; Legendre map
UR - http://eudml.org/doc/282581
ER -

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