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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 35–51 (Mi fpm1497)  
This article is cited in 1 scientific paper (total in 1 paper)

Steiner ratio for the Hadamard surfaces of curvature at most $k<0$

E. A. Zavalnyuk

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (221 kB) Citations (1)
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Abstract: In this paper, the Hadamard surfaces of curvature at most $k$ are investigated, which are a particular case of Alexandrov surfaces. It was shown that the total angle at the points of an Hadamard surface is not less than $2\pi$. The Steiner ratio of an Hadamard surface was obtained for the case where the surface is unbounded and $k<0$.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 777–788
DOI: https://doi.org/10.1007/s10958-014-2167-6
Bibliographic databases:
Document Type: Article
UDC: 514.177.2+515.122.23
Language: Russian
Citation: E. A. Zavalnyuk, “Steiner ratio for the Hadamard surfaces of curvature at most $k<0$”, Fundam. Prikl. Mat., 18:2 (2013), 35–51; J. Math. Sci., 203:6 (2014), 777–788
Citation in format AMSBIB
\Bibitem{Zav13}
\by E.~A.~Zavalnyuk
\paper Steiner ratio for the Hadamard surfaces of curvature at most~$k<0$
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 35--51
\mathnet{http://mi.mathnet.ru/fpm1497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431783}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 777--788
\crossref{https://doi.org/10.1007/s10958-014-2167-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922076490}
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  • https://www.mathnet.ru/eng/fpm/v18/i2/p35
    • 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
    		Фундаментальная и прикладная математика
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    References:42
    First page:2
     
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