Lagrangians and hamiltonians on affine bundles and higher order geometry

• Autorzy: Paul Popescu , Marcela Popescu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55R10: Fiber bundles
• 55R25: Sphere bundles and vector bundles
• 53C60: Finsler spaces and generalizations (areal metrics)
• 70H50: Higher-order theories
• 22A30: Other topological algebraic systems and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 451-469

Daty

wydano

2007

Twórcy

autor

Paul Popescu

• Department of Applied Mathematics, University of Craiova, 13, Al. I. Cuza st., Craiova, 1100, Romania

autor

Marcela Popescu

• Department of Applied Mathematics, University of Craiova, 13, Al. I. Cuza st., Craiova, 1100, Romania

Identyfikatory

DOI

10.4064/bc76-0-22