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

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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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https://www.mathnet.ru/eng/vmj/v15/i2/p77

This publication is cited in the following 1 articles:

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