Bianchi surfaces in \(\mathbb{R}^ 3\) and deformation of hyperelliptic curves
type: Item
instance of: scholarly article
title: Bianchi surfaces in \(\mathbb{R}^ 3\) and deformation of hyperelliptic curves
zbMATH Open document ID: 0804.53010
DOI: 10.1007/BF01209612
author: V. A. Reznik
author: D. Korotkin
published in: Mathematical Notes
publication date: 1994-04-12T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 525713
zbMATH Keywords: finite-zone integration
zbMATH Keywords: Bianchi surfaces
reviewed by: V. T. Fomenko
MaRDI profile type: Publication
cites work: Q3980753
cites work: Self-dual Yang-Mills fields and deformations of algebraic curves
cites work: Solitons of Wave Equation
description: scientific article; zbMATH DE number 525713