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Displaying similar documents to “Lagrange geometry on tangent manifolds.”

Basics of Lagrangian foliations.

Izu Vaisman (1989)

Publicacions Matemàtiques

Similarity:

The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.

Linearisation of second-order differential equations.

Eduardo Martínez (1996)

Extracta Mathematicae

Similarity:

Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.

On higher order geometry on anchored vector bundles

Paul Popescu (2004)

Open Mathematics

Similarity:

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