Geodesic
Estimating the surface area of spheres in normed spaces
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 12, Tome 415 (2013), pp. 21-23 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The surface area of a polyhedron in a normed space is defined as the sum of the areas of its faces, each divided by the area of the central section of the unit ball, parallel to the face. This functional naturally extends to convex bodies. In the paper, it is proved, in particular, that the surface area of the unit sphere in any three-dimensional normed space does not exceed 8. 
@article{ZNSL_2013_415_a2,
     author = {V. V. Makeev and M. Yu. Nikanorova},
     title = {Estimating the surface area of spheres in normed spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {21--23},
     year = {2013},
     volume = {415},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_415_a2/}
}
TY  - JOUR
AU  - V. V. Makeev
AU  - M. Yu. Nikanorova
TI  - Estimating the surface area of spheres in normed spaces
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2013
SP  - 21
EP  - 23
VL  - 415
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2013_415_a2/
LA  - ru
ID  - ZNSL_2013_415_a2
ER  - 
%0 Journal Article
%A V. V. Makeev
%A M. Yu. Nikanorova
%T Estimating the surface area of spheres in normed spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 2013
%P 21-23
%V 415
%U http://geodesic.mathdoc.fr/item/ZNSL_2013_415_a2/
%G ru
%F ZNSL_2013_415_a2
V. V. Makeev; M. Yu. Nikanorova. Estimating the surface area of spheres in normed spaces. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 12, Tome 415 (2013), pp. 21-23. http://geodesic.mathdoc.fr/item/ZNSL_2013_415_a2/

[1] I. K. Babenko, “Asimptoticheskii ob'ëm torov i geometriya vypuklykh tel”, Mat. zametki, 44:2 (1988), 177–190 | MR | Zbl

[2] V. V. Makeev, “O parallelepipedakh i tsentralno-simmetrichnykh shestiugolnykh prizmakh, opisannykh vokrug trëkhmernogo tsentralno-simmetrichnogo vypuklogo tela”, Zap. nauchn. semin. POMI, 372, 2009, 103–107 | MR