Bianchi surfaces in \(\mathbb{R}^ 3\) and deformation of hyperelliptic curves (Q1316900)

The author gives an application of the method of finite-zone integration to the investigation of Bianchi surfaces for which the Gaussian curvature in asymptotic coordinates \((x,t)\) is given by the formula \(K(x,t)= f(x)+ g(t)\), where \(f'\neq 0\), \(g'\neq 0\). The author gives an expression of the radius-vector of these surfaces in terms of \(\theta\)-functions.