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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 71–75 (Mi ivm7129)  

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of path

A. Yu. Danshin

Chair of Theory of Relativity and Gravitation, Kazan State University, Kazan, Russia
Full-text PDF (155 kB) Citations (1)
References:
Abstract: We obtain the necessary conditions for a vector field on a tangent bundle to be an infinitesimal almost projective transformation of a general path space in the case when sets of autoparallel curves are the Yano–Okubo–Kagan natural lift of tensor fields of the base manifold.
Keywords: infinitesimal almost projective transformation, general path space, tangent bundle, Yano–Okubo–Kagan natural lift.
Received: 26.01.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 9, Pages 62–66
DOI: https://doi.org/10.3103/S1066369X10090069
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: A. Yu. Danshin, “On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of path”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9, 71–75; Russian Math. (Iz. VUZ), 54:9 (2010), 62–66
Citation in format AMSBIB
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\by A.~Yu.~Danshin
\paper On the structure of infinitesimal almost projective transformations in the tangent bundle of a~general space of path
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 9
\pages 71--75
\mathnet{http://mi.mathnet.ru/ivm7129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789308}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 9
\pages 62--66
\crossref{https://doi.org/10.3103/S1066369X10090069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649595741}
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  • https://www.mathnet.ru/eng/ivm/y2010/i9/p71
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:295
    Full-text PDF :45
    References:42
    First page:4
     
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