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Estimating the Distance between Two Bodies inside an n-Ball of Unit Volume

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Abstract

The problem of estimating the distance between two bodies of volume e inside an n-dimensional ball U of unit volume as n → ∞ is considered.

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References

  1. A. T. Fomenko, Variational Problems in Topology. The Geometry of Length, Area and Volume (Gordon and Breach Sci. Publ., New York, 1990).

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  2. Đào Trong Thi and A. T. Fomenko, Minimal Surfaces, Stratified Multivarifolds, and the Plato Problem (Nauka, Moscow, 1987; Am. Math. Soc., Providence, RI, 1991].

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  3. F. A. Ivlev, “Estimate of the distance between two bodies inside an n-dimensional unit cube and a ball,” Vestnik Moskov. Univ. Ser. I Mat. Mekh., No. 6, 23–28 (2015) [Moscow Univ. Math. Bull. 70 (6) 261–266 (2015)].

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Funding

This work was supported by the Russian Science Foundation under grant 17-11-01377.

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Correspondence to F. A. Ivlev or A. Ya. Kanel’.

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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 6, pp. 888–893.

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Ivlev, F.A., Kanel’, A.Y. Estimating the Distance between Two Bodies inside an n-Ball of Unit Volume. Math Notes 107, 972–976 (2020). https://doi.org/10.1134/S0001434620050284

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  • DOI: https://doi.org/10.1134/S0001434620050284

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