INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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Lagrangians and hamiltonians on affine bundles and higher order geometry

Paul Popescu ¹, Marcela Popescu²
Banach Center Publ. 76 (2007), 451-469

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.


MSC (2000): Primary 55R10, 55R25, 53C60; Secondary 70H50, 22A30.

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

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