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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 2, Pages 155–161 (Mi fpm1316)  

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

Degeneration of plane affine Stolyarov connections

Yu. I. Shevchenko

Immanuel Kant State University of Russia
Full-text PDF (87 kB) Citations (1)
References:
Abstract: In a projective space the plane distribution is considered. The way of the giving of plane affine Stolyarov's connection, associated with distribution, is offered. It is set by field of connection object consisting of connection quasitensor and linear connection object. The object of this generalized affine connection defines torsion and curvature objects. It is showed that these objects are tensors. Conditions when plane affine Stolyarov's connection is torsion free or curvature free are described. It is proved that the generalized affine connection with the connection quasitensor is the generalized Kroneker's symbol degenerates into linear connection.
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 177, Issue 5, Pages 753–757
DOI: https://doi.org/10.1007/s10958-011-0506-4
Bibliographic databases:
Document Type: Article
UDC: 514.75
Language: Russian
Citation: Yu. I. Shevchenko, “Degeneration of plane affine Stolyarov connections”, Fundam. Prikl. Mat., 16:2 (2010), 155–161; J. Math. Sci., 177:5 (2011), 753–757
Citation in format AMSBIB
\Bibitem{She10}
\by Yu.~I.~Shevchenko
\paper Degeneration of plane affine Stolyarov connections
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 2
\pages 155--161
\mathnet{http://mi.mathnet.ru/fpm1316}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2786526}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 177
\issue 5
\pages 753--757
\crossref{https://doi.org/10.1007/s10958-011-0506-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052377463}
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  • https://www.mathnet.ru/eng/fpm/v16/i2/p155
  • 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
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