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On higher order geometry on anchored vector bundles

100%

Popescu P.

Open Mathematics

2004

tom 2

nr 5

826-839

Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed using an anchored vector bundle.

Lagrangians and hamiltonians on affine bundles and higher order geometry

63%

Popescu P., Popescu M.

Banach Center Publications

2007

tom 76

nr 1

451-469

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.

Ograniczanie wyników

1 Banach Center Publications

1 Open Mathematics

2 Popescu P.

1 Popescu M.

1 2007

1 2004

Wyniki wyszukiwania

On higher order geometry on anchored vector bundles

Lagrangians and hamiltonians on affine bundles and higher order geometry