A general approach allowing to find the analytical expressions for
equilibrium magnetic structures in small and flat magnetic nano-sized cylinders
of arbitrary shape made of soft magnetic material is presented. The resulting
magnetization distributions are two-dimensional topological solitons and have a
non-zero topological charge. The approach is illustrated here on an example of
a thin rectangular particle.Comment: 3 pages, 2 figures, RevTex, for SCM2001 (Seeheim, Germany, 2001),
satellite of JEMS'01 conferenc