Geodesic
An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 43-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we obtain the exact dimensions of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with a complete lift, when the base $M$ is a non-projective Euclidean space of special type.
Keywords: differentiable manifold, complete lift connection, vertical-vector lift of affinor, horizontal-vector lift of affinor, Lie algebra, non-projective Euclidean space.
Mots-clés : infinitesimal affine transformation 
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     title = {An estimate of the dimension of the {Lie} algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. Ya. Sultanov; G. A. Sultanova. An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 43-54. http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a4/

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