Harmonic maps and associated maps from simply connected Riemann surfaces into the 3-dimensional space forms

DOI10.2748/TMJ/1178225525zbMath0846.58019OpenAlexW2042355835WikidataQ124856393 ScholiaQ124856393MaRDI QIDQ1902885

Atsushi Fujioka

Publication date: 3 December 1995

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225525

zbMATH Keywords

constant mean curvaturesurfacesstructure equations\(S^ 1\)-equivariant familygeneralized CMC surfaces

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (3)

Application of the moving frame method to deformed Willmore surfaces in space forms ⋮ Kenmotsu type representation formula for surfaces with prescribed mean curvature in the 3-sphere ⋮ Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in \({\mathbf H}_1^3(-c^2)\)

Cites Work

• Unnamed Item
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• A generalization of \(H\)-surfaces and a certain duality
• Complete minimal surfaces in \(S^ 3\)
• The Self-Duality Equations on a Riemann Surface

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