Some geometric properties of convex bodies. II

Makeev, V.

doi:10.1090/S1061-0022-04-00836-2

Some geometric properties of convex bodies. II
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by V. V. Makeev
Translated by: N. Yu. Netsvetaev

St. Petersburg Math. J. 15 (2004), 867-874

DOI: https://doi.org/10.1090/S1061-0022-04-00836-2

Published electronically: November 16, 2004

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Abstract:

Topological means are used for the study of approximation of $2$-dimensional sections of a $3$-dimensional convex body by affine-regular pentagons and approximation of a centrally symmetric convex body by a prism. Also, the problem of estimating the relative surface area of the sphere in a normed $3$-space, the problem on universal covers for sets of unit diameter in Euclidean space, and some related questions are considered.

References

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