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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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