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Displaying similar documents to “A complement to the paper “On the Kolář connection” [Arch. Math. (Brno) 49 (2013), 223–240]”

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 on higher order principal prolongations

Vašík, Petr

Similarity:

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.