The Gauss map of pseudo-algebraic minimal surfaces in ${\mathbf{R}}^4$

Abstract

In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number for the Gauss map of pseudo-algebraic minimal surfaces in Euclidean four-space and give a kind of unicity theorem.

11page, corrected some typos and English. to appear in Mathematische Nachrichten