Structure of three-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 (V², γ), where V² is a minimal two-dimensional surface in Sⁿ and γ satisfies Δγ+2γ=0 (here Δ is the Laplace operator in ℝ⁴). It is also shown that the singularities of the surface are determined by zeros of γ. Bibliography: 9 titles. Published inZapiski Nauchnykh Seminarov POMI, Vol. 234, 1996, pp. 20–38.