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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 62–69 (Mi ivm7931)  
This article is cited in 2 scientific papers (total in 2 papers)

Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection

N. I. Maninaa, A. Ya. Sultanovb

a Scientific and Technical Enterprise "Cryptosoft", Penza, Russia
b Chair of Algebra, Penza State Pedagogical University, Penza, Russia
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Abstract: We obtain the canonical expansion of an infinitesimal affine transformation of the second order tangent bundle with horizontal lift connection. We establish necessary and sufficient conditions under which a vector field is an infinitesimal affine transformation. We also construct the horizontal lift of a linear connection to a second orderWeil bundle.
Keywords: second order tangent bundle, linear connection, horizontal lift of a linear connection, infinitesimal affine transformation, second order Weil bundle.
Received: 07.07.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 52–57
DOI: https://doi.org/10.3103/S1066369X11090076
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: N. I. Manina, A. Ya. Sultanov, “Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 62–69; Russian Math. (Iz. VUZ), 55:9 (2011), 52–57
Citation in format AMSBIB
\Bibitem{ManSul11}
\by N.~I.~Manina, A.~Ya.~Sultanov
\paper Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 9
\pages 62--69
\mathnet{http://mi.mathnet.ru/ivm7931}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931776}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 9
\pages 52--57
\crossref{https://doi.org/10.3103/S1066369X11090076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80055066252}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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