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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 1, Pages 55–63 (Mi fpm1290)  
This article is cited in 3 scientific papers (total in 3 papers)

A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems

L. E. Evtushika, O. M. Omelyanb

a M. V. Lomonosov Moscow State University
b Immanuel Kant State University of Russia
Full-text PDF (117 kB) Citations (3)
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Abstract: We give the widest geometrical generalization of the notion of connection in fiber spaces that allows one to adequately construct the geometry of ordinary differential systems of any order. In this area, there is a theory of nonlinear stable connections developed by the first author. Here we apply it to fourth-order systems.
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 177, Issue 4, Pages 551–557
DOI: https://doi.org/10.1007/s10958-011-0480-x
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: L. E. Evtushik, O. M. Omelyan, “A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems”, Fundam. Prikl. Mat., 16:1 (2010), 55–63; J. Math. Sci., 177:4 (2011), 551–557
Citation in format AMSBIB
\Bibitem{EvtOme10}
\by L.~E.~Evtushik, O.~M.~Omelyan
\paper A~category-theoretic approach extending the notion of connection in a~natural way, and its application to the geometry of differential systems
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 1
\pages 55--63
\mathnet{http://mi.mathnet.ru/fpm1290}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2786491}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 177
\issue 4
\pages 551--557
\crossref{https://doi.org/10.1007/s10958-011-0480-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052260598}
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  • https://www.mathnet.ru/eng/fpm/v16/i1/p55
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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