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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 2, Pages 43–54 (Mi uzku1252)  
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
Full-text PDF (466 kB) Citations (2)
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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
Document Type: Article
UDC: 514.76
Language: Russian
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
Citation in format AMSBIB
\Bibitem{SulSul14}
\by A.~Ya.~Sultanov, G.~A.~Sultanova
\paper An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2014
\vol 156
\issue 2
\pages 43--54
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1252}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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