Okhrimenko S. Conformal moduli and extremal metrics on nonorientable Riemannian manifolds

The object are a Riemannian Mobius strip, multiply connected domains on it, nonorientable n-dimensional (nі3) Riemannian manifolds; the aim is investigation of the problem of conformal moduli of families of curves lying on a Riemannian Mobius strip, multiply connected domains on it, nonorientable n-dimensional (nі3) Riemannian manifolds; methods are classical analysis, theory of functions, conformal mappings, variations; the results - the extremal metrics and the conformal moduli of some families of curves lying on a Riemannian Mobius strip, multiply connected domains on it, nonorientable n-dimensional (nі3) Riemannian manifolds are found; pairwise products of conformal moduli of "conjugate" families of curves are investigated and estimates for these products are obtained; sphere is mathematical analysis.