  We develop an approach to treat magnetic energy of a ferromagnet for
arbitrary curved wires and shells on the assumption that the anisotropy
contribution much exceeds the dipolar and other weak interactions. We show that
the curvature induces two effective magnetic interactions: effective magnetic
anisotropy and effective Dzyaloshinskii-like interaction. We derive an equation
of magnetisation dynamics and propose a general static solution for the limit
case of strong anisotropy. To illustrate our approach we consider the
magnetisation structure in a ring wire and a cone surface: ground states in
both systems essentially depend on the curvature excluding strictly tangential
solutions even in the case of strong anisotropy. We derive also the spectrum of
spin waves in such systems.
