The Gauss map of pseudo‐algebraic minimal surfaces in R⁴

Abstract

Abstract In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number of the Gauss map for pseudo‐algebraic and algebraic minimal surfaces in Euclidean four‐space and give a kind of unicity theorem (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)