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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 2, Pages 77–81
(Mi vmj464)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vmj464 https://www.mathnet.ru/eng/vmj/v15/i2/p77
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Abstract page: | 226 | Full-text PDF : | 72 | References: | 39 | First page: | 1 |
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