  Periodical equilibrium states of magnetization exist in chiral ferromagnetic
films, if the constant of antisymmetric exchange (Dzyaloshinskii-Moriya
interaction) exceeds some critical value. Here, we demonstrate that this
critical value can be significantly modified in curved film. The competition
between symmetric and antisymmetric exchange interactions in a curved film can
lead to a new type of domain wall which is inclined with respect to the
cylinder axis. The wall structure is intermediate between Bloch and N\'eel
ones. The exact analytical solutions for phase boundary curves and the new
domain wall are obtained.
