  Equations of the magnetization dynamics are derived for an arbitrary curved
2D surface. General static solutions are obtained in the limit of a strong
anisotropy of both signs (easy-surface and easy-normal cases). It is shown that
the effect of the curvature can be treated as appearance of an effective
magnetic field which is aligned along the surface normal for the case of
easy-surface anisotropy and it is tangential to the surface for the case of
easy-normal anisotropy. In general, the existence of such a field denies the
solutions strictly tangential as well as strictly normal to the surface. As an
example we consider static equilibrium solutions and linear dynamics for a cone
surface magnetization.
