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Prolongation of second order connections to vertical Weil bundles. (English) Zbl 1090.58003
A section of the second non-holonomic jet prolongation of a fibred manifold is defined to be a second order connection. In the paper prolongations of second order connections on a fibred manifold to its vertical bundle determined by a Weil algebra $$A$$ are studied. The properties of the absolute differentiation with respect to prolongated connection are studied as well.

##### MSC:
 58A20 Jets in global analysis 53C05 Connections (general theory)
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