A loop group method for minimal surfaces in the three-dimensional Heisenberg group

DOI10.4310/AJM.2016.v20.n3.a2zbMath1352.53054arXiv1210.7300OpenAlexW2962921088MaRDI QIDQ317505

Jun-Ichi Inoguchi, Josef F. Dorfmeister, Shimpei Kobayashi

Publication date: 30 September 2016

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7300

zbMATH Keywords

Heisenberg groupspinorsconstant mean curvaturegeneralized Weierstrass-type representation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Loop groups and related constructions, group-theoretic treatment (22E67) Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

A loop group method for affine harmonic maps into Lie groups ⋮ Timelike minimal surfaces in the three-dimensional Heisenberg group ⋮ Minimal cylinders in the three-dimensional Heisenberg group ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

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