A contribution to the connection of V. Hlavatý
A. Szybiak (1973)
Annales Polonici Mathematici
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A. Szybiak (1973)
Annales Polonici Mathematici
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Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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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.
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.
Jacek Gancarzewicz (1977)
Annales Polonici Mathematici
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P. G. Walczak (1975)
Colloquium Mathematicae
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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.