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

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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. 
@article{VMJ_2013_15_2_a8,
     author = {N. V. Rasskazova},
     title = {Extremal values of the integral of the mean curvature on the set of parallelepipeds with a~given geodesic diameter},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {77--81},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_2_a8/}
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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/