A contribution to the connection of V. Hlavatý
A. Szybiak (1973)
Annales Polonici Mathematici
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Displaying similar documents to “A complement to the paper “On the Kolář connection” [Arch. Math. (Brno) 49 (2013), 223–240]”
A contribution to the connection of V. Hlavatý
On the connections naturally induced on the second order frame bundle
Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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On third order semiholonomic prolongation of a connection
Petr Vašík (2011)
Banach Center Publications
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We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.
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.
Connections of order r
Jacek Gancarzewicz (1977)
Annales Polonici Mathematici
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P. G. Walczak (1975)
Colloquium Mathematicae
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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.