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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 2, Pages 77–81 (Mi vmj464)  
This article is cited in 1 scientific paper (total in 1 paper)

Extremal values of the integral of the mean curvature on the set of parallelepipeds with a given geodesic diameter

N. V. Rasskazova

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University, Rubtsovsk, Russia
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Abstract: In the paper, extremal values of the mean curvature integral on set of parallelepipeds with a given geodesic diameter are obtained. The maximal (minimal) value of the integral of mean curvature is attained for a degenerate parallelepiped with relation $0:1:1$ ($0:0:1$, respectively) for its edge lengths.
Key words: rectangular parallelepiped, intrinsic diameter, integral of average curvature.
Received: 02.12.2011
Document Type: Article
UDC: 514.17
Language: Russian
Citation: N. V. Rasskazova, “Extremal values of the integral of the mean curvature on the set of parallelepipeds with a given geodesic diameter”, Vladikavkaz. Mat. Zh., 15:2 (2013), 77–81
Citation in format AMSBIB
\Bibitem{Ras13}
\by N.~V.~Rasskazova
\paper Extremal values of the integral of the mean curvature on the set of parallelepipeds with a~given geodesic diameter
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 2
\pages 77--81
\mathnet{http://mi.mathnet.ru/vmj464}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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