  We demonstrate that the hybrid structures consisting of a superconducting
layer with an adjacent spin-textured ferromagnet demonstrate the variety of
equilibrium magnetoelectric effects originating from coupling between the
conduction electron spin and superconducting current. By deriving and solving
the generalized Usadel equation which takes into account the spin-filtering
effect we find that a supercurrent generates spin polarization in the
superconducting film which is non-coplanar with the local ferromagnetic moment.
The inverse magnetoelectric effect in such structures is shown to result in the
spontaneous phase difference across the magnetic topological defects such as a
domain wall and helical spin texture. The possibilities to obtain
dissipationless spin torques and detect domain wall motion through the
superconducting phase difference are discussed.
