On connections on the second iterated tangent bundle
Anton Dekrét (1987)
Archivum Mathematicum
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Displaying similar documents to “Connections on higher order principal prolongations”
On connections on the second iterated tangent bundle
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...
On the connections naturally induced on the second order frame bundle
Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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On prolongation of higher order connections
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.