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Distinguished geodesics and jacobi fields on first order jet spaces

100%

Balan V., Voicu N.

Open Mathematics

2004

tom 2

nr 4

516-526

In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.

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.

Ograniczanie wyników

2 Open Mathematics

1 Balan V.

1 Popescu P.

1 Voicu N.

2 2004

Wyniki wyszukiwania

Distinguished geodesics and jacobi fields on first order jet spaces

On higher order geometry on anchored vector bundles