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

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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).

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References

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Authors
  1. P. M. Tamrazov
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  2. S. A. Okhrimenko
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 110–116, January, 1999.

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Tamrazov, P.M., Okhrimenko, S.A. Pairwise products of moduli of families of curves on a Riemannian Möbius strip. Ukr Math J 51, 119–127 (1999). https://doi.org/10.1007/BF02591919

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  • DOI: https://doi.org/10.1007/BF02591919

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