Minimal cylinders in the three-dimensional Heisenberg group

DOI10.1007/s00208-023-02610-0arXiv2206.06625OpenAlexW4360831064MaRDI QIDQ6117879

Shimpei Kobayashi

Publication date: 21 February 2024

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

Full work available at URL: https://arxiv.org/abs/2206.06625

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)

Cites Work

• A loop group method for minimal surfaces in the three-dimensional Heisenberg group
• Weierstrass type representation of harmonic maps into symmetric spaces
• Invariant surfaces of the Heisenberg groups
• SO(2)-invariant minimal and constant mean curvature surfaces
• Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
• Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods
• The Gauss Map of Minimal Surfaces in the Heisenberg Group
• Coarse classification of constant mean curvature cylinders
• Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space
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