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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 2, Pages 43–54
(Mi uzku1252)
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This article is cited in 2 scientific papers (total in 2 papers)
An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection
A. Ya. Sultanov, G. A. Sultanova Belinsky Penza State Pedagogical University, Penza, Russia
Abstract:
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, infinitesimal affine transformation, vertical-vector lift of affinor, horizontal-vector lift of affinor, Lie algebra, non-projective Euclidean space.
Received: 07.05.2014
Citation:
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”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 2, Kazan University, Kazan, 2014, 43–54
Linking options:
https://www.mathnet.ru/eng/uzku1252 https://www.mathnet.ru/eng/uzku/v156/i2/p43
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