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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 67–77 (Mi fpm1499)  
This article is cited in 5 scientific papers (total in 5 papers)

The type of minimal branching geodesics defines the norm in a normed space

I. L. Laut, Z. N. Ovsyannikov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (141 kB) Citations (5)
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Abstract: In this paper, we investigate the inverse problem to the minimal branching geodesic searching problem in a normed space. Let us consider a normed space. Then the form of the minimal branching geodesic is determined. We must find all possible normed spaces with the same form of the minimal branching geodesics as the one in the considered normed space. The case of Euclidean norms is analyzed in detail.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 799–805
DOI: https://doi.org/10.1007/s10958-014-2169-4
Bibliographic databases:
Document Type: Article
UDC: 514.77+519.176
Language: Russian
Citation: I. L. Laut, Z. N. Ovsyannikov, “The type of minimal branching geodesics defines the norm in a normed space”, Fundam. Prikl. Mat., 18:2 (2013), 67–77; J. Math. Sci., 203:6 (2014), 799–805
Citation in format AMSBIB
\Bibitem{LauOvs13}
\by I.~L.~Laut, Z.~N.~Ovsyannikov
\paper The type of minimal branching geodesics defines the norm in a~normed space
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 67--77
\mathnet{http://mi.mathnet.ru/fpm1499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431785}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 799--805
\crossref{https://doi.org/10.1007/s10958-014-2169-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922079066}
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  • https://www.mathnet.ru/eng/fpm/v18/i2/p67
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:41
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