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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 7, Pages 64–72 (Mi ivm7109)  

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

Functional equations in geometry of two sets

G. G. Mikhailichenko

Chair of Physics and Teaching Principles, Gorny Altai State University, Gorno-Altaisk, Russia
Full-text PDF (173 kB) Citations (1)
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Abstract: We solve a functional equation connected with deformations of the canonical form of a metric function giving on one-dimensional manifolds the geometry of two sets (physical structure) of rank (2,2). We study four types of such deformations.
Keywords: functional equation, geometry of two sets (physical structure), deformation of metric function.
Received: 02.09.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 7, Pages 56–63
DOI: https://doi.org/10.3103/S1066369X10070066
Bibliographic databases:
Document Type: Article
UDC: 517.965
Language: Russian
Citation: G. G. Mikhailichenko, “Functional equations in geometry of two sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7, 64–72; Russian Math. (Iz. VUZ), 54:7 (2010), 56–63
Citation in format AMSBIB
\Bibitem{Mik10}
\by G.~G.~Mikhailichenko
\paper Functional equations in geometry of two sets
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 7
\pages 64--72
\mathnet{http://mi.mathnet.ru/ivm7109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752694}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 7
\pages 56--63
\crossref{https://doi.org/10.3103/S1066369X10070066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649606589}
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  • https://www.mathnet.ru/eng/ivm/y2010/i7/p64
  • 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:472
    Full-text PDF :125
    References:70
    First page:5
     
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