A simple way for determining the normalized potentials for harmonic maps

DOI10.1023/A:1006556302766zbMath0954.58017OpenAlexW2184055348MaRDI QIDQ1284576

Hongyou Wu

Publication date: 13 June 1999

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006556302766

zbMATH Keywords

constant mean curvatureharmonic mapsWeierstrass type representationnormalized potentials

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (12)

Generalized Weierstrass representations of surfaces with the constant Gauss curvature in pseudo-Riemannian three-dimensional space forms ⋮ On the dressing action of loop groups on constant mean curvature surfaces ⋮ On symmetric Willmore surfaces in spheres. I: The orientation preserving case. ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ Initial value problems of the sine-Gordon equation and geometric solutions ⋮ Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\) ⋮ On symmetric Willmore surfaces in spheres. II: The orientation reversing case ⋮ Constant mean curvature surfaces based on fundamental quadrilaterals ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ Normalized potentials of minimal surfaces in spheres ⋮ Coarse classification of constant mean curvature cylinders ⋮ A new characterization of normalized potentials in dimension two

This page was built for publication: A simple way for determining the normalized potentials for harmonic maps