On connections on the second iterated tangent bundle
Anton Dekrét (1987)
Archivum Mathematicum
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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
Connections on higher order principal prolongations
Vašík, Petr
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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)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Linearisation of second-order differential equations.
Eduardo Martínez (1996)
Extracta Mathematicae
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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.