Geodesic
Extremal values of the integral of the mean curvature on the set of parallelepipeds with a given geodesic diameter
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 2, pp. 77-81 
N. V. Rasskazova. Extremal values of the integral of the mean curvature on the set of parallelepipeds with a given geodesic diameter. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 2, pp. 77-81. http://geodesic.mathdoc.fr/item/VMJ_2013_15_2_a8/
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     title = {Extremal values of the integral of the mean curvature on the set of parallelepipeds with a~given geodesic diameter},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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