Generalized Weierstrass representation for surfaces in Heisenberg spaces

DOI10.1016/j.difgeo.2011.11.001zbMath1242.53064OpenAlexW2028262018WikidataQ115356764 ScholiaQ115356764MaRDI QIDQ763048

Jorge A. Hinojosa, Luis J. Alías, Jorge Herbert S. de Lira

Publication date: 8 March 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.11.001

zbMATH Keywords

mean curvatureharmonic mapsHeisenberg spacesminimal and CMC surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Cites Work

• The Gauss map of minimal surfaces in Berger spheres
• A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
• Weierstrass formula for surfaces of prescribed mean curvature
• Weierstrass type representation of harmonic maps into symmetric spaces
• On quadratic differentials and twisted normal maps of surfaces in \(\mathbb S^2 \times\mathbb R\) and \(\mathbb H^2\times\mathbb R\)
• Harmonic maps from a 2-torus to the 3-sphere
• A characterization of constant mean curvature surfaces in homogeneous 3-manifolds
• The Gauss Map of Minimal Surfaces in the Heisenberg Group
• Two-dimensional Dirac operator and the theory of surfaces
• Harmonic maps and constant mean curvature surfaces in H 2 x R
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