Connections of order r
Jacek Gancarzewicz (1977)
Annales Polonici Mathematici
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Jacek Gancarzewicz (1977)
Annales Polonici Mathematici
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A. Szybiak (1973)
Annales Polonici Mathematici
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Virsik, G. (1996)
Archivum Mathematicum
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W.M. Mikulski (2015)
Archivum Mathematicum
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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.
Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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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.