On connections, geodesics and sprays in synthetic differential geometry

Marta Bunge; Patrice Sawyer

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Displaying similar documents to “On connections, geodesics and sprays in synthetic differential geometry”

On connections on the second iterated tangent bundle

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Connections on higher order principal prolongations

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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.

On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces

Marta Bunge (1987)

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Linearisation of second-order differential equations.

Eduardo Martínez (1996)

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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.