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Infinitesimal affine transformations of a bundle of linear frames with a connection of complete lift. (Russian) Zbl 0863.53015
The fibre bundle $$L(M_n)$$ of linear frames for the differentiable manifold $$M_n$$ with a linear connection $$\Delta$$ without torsion is studied. The connection of the complete lift $$\nabla^c$$ is constructed. The characteristic of the vector fields in $$(L(M_n),\nabla^c)$$, which are infinitesimal affine transformations, is given.

##### MSC:
 53C05 Connections, general theory
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