Geodesic
Tangent and tensor bundles of $(2,0)$ type under Lie group
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 138-147 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the E. V. Nazarova's work the tangent bundle of $TG$ Lie group was studied from the natural and synectics extension point of view of this group in algebra of dual numbers. Invariant synectics linkages under group $G$. Our aim was to study the tangent and tensor bundles $T^2_0G$ under Lie group. These bundles were proved to be trivial and the bundle spaces were proved to be Lie groups. The lifts of these left-invariant vector fields were built un these bundles. Lie algebra of $TG$ group and Lie algebra of $T^2_0G$ under Lie group were found, and the equations of these algebras were obtained. The tangent and $(2,0)$ tensor bundles under 2-dimensional linked Lie groups were regarded as examples. 
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N. A. Opokina. Tangent and tensor bundles of $(2,0)$ type under Lie group. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 138-147. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a12/

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