The Greneralized Weierstrass Formula for Surfaces in R~3

The basic formula for minimal surfaces in R~3 is the Weierstrass formula whichhas a lot of deep application(1]).In 1979 K.Kenmotsu gave a representationformula for a surface with prescribed mean curvature in terms of its Gauss map(2]).We will generalize the Weierstraes formula for minimal surfaces to thecase of general surfaces,and our results cover that of Kenmotsu's.