Harmonic maps and associated maps from simply connected Riemann surfaces into the 3-dimensional space forms
type: Item
instance of: scholarly article
title: Harmonic maps and associated maps from simply connected Riemann surfaces into the 3-dimensional space forms
zbMATH Open document ID: 0846.58019
author: Atsushi Fujioka
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1995-12-03T00:00:00Z
review text: The author introduces equations on Riemann surfaces whose solutions are considered to be a generalization of simply connected, constant mean curvature surfaces in 3-dimensional space forms. The author shows that under certain conditions there exists a natural bijection between the sets of solutions of two such equations.
reviewed by: Changping Wang
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 822827
zbMATH Keywords: constant mean curvature
zbMATH Keywords: surfaces
zbMATH Keywords: \(S^ 1\)-equivariant family
zbMATH Keywords: structure equations
zbMATH Keywords: generalized CMC surfaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225525
OpenAlex ID: W2042355835
Wikidata QID: Q124856393
cites work: Q4296907
cites work: Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
cites work: A generalization of \(H\)-surfaces and a certain duality
cites work: The Self-Duality Equations on a Riemann Surface
cites work: Complete minimal surfaces in \(S^ 3\)
DOI: 10.2748/TMJ/1178225525
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description: scientific article; zbMATH DE number 822827