scientific article; zbMATH DE number 1857915

zbMath1035.53016arXivmath/0307273MaRDI QIDQ4788878

Magdalena Daniela Toda, Jun-Ichi Inoguchi, Josef F. Dorfmeister

Publication date: 17 June 2003

Full work available at URL: https://arxiv.org/abs/math/0307273

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zbMATH Keywords

harmonic mapsloop groupsconstant mean curvature surfaceMinkowski 3-space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Loop groups and related constructions, group-theoretic treatment (22E67) Harmonic maps, etc. (58E20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Timelike minimal surfaces in the three-dimensional Heisenberg group ⋮ Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space ⋮ Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space ⋮ On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps ⋮ Timelike constant mean curvature surfaces with singularities ⋮ Real forms of complex surfaces of constant mean curvature ⋮ A novel class of model constitutive laws in nonlinear elasticity: construction via Loewner theory ⋮ Timelike minimal surfaces via loop groups ⋮ Timelike surfaces of constant mean curvature \(\pm 1\) in anti-de Sitter 3-space \(\mathbb H^3_1(-1)\) ⋮ On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures

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