A representation formula for non-conformal harmonic surfaces in \(R^3\)

DOI10.1007/s00025-019-0970-6zbMath1409.53011arXiv1712.06298OpenAlexW2921958632MaRDI QIDQ667545

Makoto Sakaki, Bart Dioos

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06298

zbMATH Keywords

representation formula\((\pm)\)transformnon-conformal harmonic surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20)

Related Items (1)

Value distribution properties for the Gauss maps of the immersed harmonic surfaces

Cites Work

• Unnamed Item
• Sequences of minimal surfaces in \(S^{2n+1}\)
• Transforms for non-conformal harmonic surfaces in \(\mathbb R^3\)
• Transforms for minimal surfaces in the 5-sphere
• The Gauss map of a harmonic surface
• Complete minimal surfaces in \(S^ 3\)
• On harmonic quasiconformal immersions of surfaces in $\mathbb {R}^3$
• Sequences of harmonic maps in the 3-sphere
• Mapping Surfaces Harmonically into E n
• Transforms for minimal surfaces in 5-dimensional space forms
• Harmonic parametrization of surfaces of arbitrary genus

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