Displaying similar documents to “On no-holonomic second-order connections with applications to continua with microstructure.”

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.

Second order connections on some functional bundles

Antonella Cabras, Ivan Kolář (1999)

Archivum Mathematicum

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We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y , such a connection is a section from Y into the second non-holonomic jet prolongation of Y . Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y , which are deduced in the first part of...