Meromorphic potentials and smooth surfaces of constant mean curvature

DOI10.1007/PL00004295zbMath0898.53008arXivdg-ga/9412007MaRDI QIDQ1358230

Guido Haak, Josef F. Dorfmeister

Publication date: 3 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9412007

zbMATH Keywords

constant mean curvature surfacesmeromorphic potentials

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (13)

Lawson's genus two surface and meromorphic connections ⋮ On symmetric Willmore surfaces in spheres. I: The orientation preserving case. ⋮ Fuchsian DPW potentials for Lawson surfaces ⋮ A \(tt^*\)-bundle associated with a harmonic map from a Riemann surface into a sphere ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ Construction of constant mean curvature \(n\)-noids from holomorphic potentials ⋮ Definite affine spheres and loop groups ⋮ Initial value problems of the sine-Gordon equation and geometric solutions ⋮ The spacelike surface with parallel mean curvature vector in \(\mathbb R^{3, 1}\) ⋮ Spherical Surfaces ⋮ Coarse classification of constant mean curvature cylinders ⋮ A new characterization of normalized potentials in dimension two ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

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