Jet involution and prolongations of connections
Marco Modugno (1989)
Časopis pro pěstování matematiky
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Displaying similar documents to “The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles”
Jet involution and prolongations of connections
Induced Generalized Connections in Vector Subbundles
Irena Čomić (1993)
Publications de l'Institut Mathématique
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Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold.
Janyška, J., Modugno, M. (1996)
Archivum Mathematicum
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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.
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 , such a connection is a section from into the second non-holonomic jet prolongation of . 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 , which are deduced in the first part of...
Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
Josef Janyška, Marco Modugno (1996)
Archivum Mathematicum
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All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).