The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces
type: Item
instance of: scholarly article
title: The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces
zbMATH Open document ID: 0892.53037
DOI: 10.1016/S0393-0440(97)00007-7
author: J. Ning
published in: Journal of Geometry and Physics
publication date: 1998-08-03T00:00:00Z
review text: The Ernst equation for a complex-valued function \(f\) of one complex variable \(z\) is given by \[ f_{z\overline z} +{1\over 2 (z+ \overline z)} (f_z+f_{\overline z})= {2 \over f+ \overline f} f_zf_{\overline z}. \] The goal of the paper under review is to show how one can construct the solutions of this equation from solutions of some generalized scalar Riemann-Hilbert problem on hyperelliptic Riemann surfaces.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 30F99
zbMATH DE Number: 1112275
zbMATH Keywords: Ernst equation
zbMATH Keywords: generalized scalar Riemann-Hilbert problem
zbMATH Keywords: hyperelliptic Riemann surfaces
reviewed by: S. Ivashkovich
MaRDI profile type: Publication
cites work: Q3896182
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description: scientific article; zbMATH DE number 1112275