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Displaying similar documents to “Stochastic calculus, statistical asymptotics, Taylor strings and phyla”

Stochastic parallel transport and connections of H 2 M

Pedro Catuogno (1999)

Archivum Mathematicum

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In this paper we prove that there is a bijective correspondence between connections of H 2 M , the principal bundle of the second order frames of M , and stochastic parallel transport in the tangent space of M . We construct in a direct geometric way a prolongation of connections without torsion of M to connections of H 2 M . We interpret such prolongation in terms of stochastic calculus.

Some remarks on the Cristoffel symbols of Ehresmann E-connection.

Ercüment Ortaçgil (1996)

Extracta Mathematicae

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We study the relations between torsion, curvature, local flatness and simplicity within the framework of E-connections by means of explicit formulas in terms of the Christoffel symbols of the given E-connection.