Okhrimenko S. A.
Ukr. Mat. Zh. - 2000. - 52, № 3. - pp. 354-358
We investigate the modulus problem for families of curves in multiply-connected nonorientable domains on a Riemannian Mobius strip. We determine the extremal metric and the modulus of a “cross” family of arcs.
Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 110–116
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).