On the structure of 3-dimensional minimal parabolic surfaces in Euclidean space

It is shown that the structure of a three-dimensional minimal parabolic surface is determined by the pair $(V^2,\gamma)$, where $V^2$ is a minimal two-dimensional surface in $S^n$ and $\gamma$ satisfies $\Delta\gamma+2\gamma=0$ (here $\Delta$ is the Laplace operator in $R^n$). It is also shown that the singularities of the surface are determined by zeros of $\gamma$. Bibl. 9 titles.