... with a conditions onderivations.In chapter 3, we recall the Gauss map of minimal surfaces in Rmand we study theramification of the Gauss map on annular ends in minimal surfaces in R3, R4.46. ... distribution of the Gauss mapof minimal surfaces on annular endsLet M be a non-flat minimal surface in R3, or more precisely, a connected orientedminimal surface in R3. By definition, the Gauss map ... complete non-flatminimal surface in R3, then its Gauss map can omit at most 4 points, and the bound issharp. In 1991, S. J. Kao showed that the Gauss map of an end of a non-flat completeminimal...