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On higher order geometry on anchored vector bundles. (English) Zbl 1114.53021

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

MSC:

53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
44A15 Special integral transforms (Legendre, Hilbert, etc.)
53B15 Other connections
22A30 Other topological algebraic systems and their representations
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
53C05 Connections (general theory)
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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References:

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