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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 
@article{UZKU_2014_156_2_a4,
     author = {A. Ya. Sultanov and G. A. Sultanova},
     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},
     pages = {43--54},
     publisher = {mathdoc},
     volume = {156},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a4/}
}
TY  - JOUR
AU  - A. Ya. Sultanov
AU  - G. A. Sultanova
TI  - An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2014
SP  - 43
EP  - 54
VL  - 156
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a4/
LA  - ru
ID  - UZKU_2014_156_2_a4
ER  - 
%0 Journal Article
%A A. Ya. Sultanov
%A G. A. Sultanova
%T An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2014
%P 43-54
%V 156
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a4/
%G ru
%F UZKU_2014_156_2_a4
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/