2017
Том 69
№ 6

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Pairwise products of moduli of families of curves on a Riemannian Möbius strip

Okhrimenko S. A., Tamrazov P. M.

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Abstract

We investigate pairwise products of moduli of families of curves on a Riemannian Möbius strip and obtain estimates for these products. As one of the factors, we consider the modulus of a family of arcs from a broad class of families of this sort (for each of these families, we determine the modulus and extremal metric).

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 1, pp 119-127.

Citation Example: Okhrimenko S. A., Tamrazov P. M. Pairwise products of moduli of families of curves on a Riemannian Möbius strip // Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 110–116.

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