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Infinitesimal affine transformations of a Weil bundle of second order with complete lift connection. (English. Russian original) Zbl 1337.53024

Russ. Math. 59, No. 12, 1-9 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 12, 3-13 (2015).
Summary: We obtain the canonical expansion of an arbitrary infinitesimal affine transformation of a Weil bundle of second order over a differentiable manifold with complete lift connection. We establish necessary and sufficient conditions under which a vector field is an infinitesimal affine transformation.

MSC:

53B05 Linear and affine connections
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References:

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