Kenmotsu type representation formula for surfaces with prescribed mean curvature in the 3-sphere

DOI10.2748/tmj/1178224660zbMath1008.53012OpenAlexW2130824845MaRDI QIDQ1572914

Reiko Aiyama, Kazuo Akutagawa

Publication date: 13 November 2000

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224660

zbMATH Keywords

Riemann surfacesurface of constant mean curvatureHopf differentialgeneralized Gauss mapKenmotsu representation formula

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)

Related Items (5)

A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov ⋮ On the constructibility of a negatively curved complete surface of constant mean curvature in \(\mathbb{H}^3\) determined by a prescribed Hopf differential ⋮ Lagrangian surfaces with circle symmetry in the complex two-space ⋮ Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in \({\mathbf H}_1^3(-c^2)\) ⋮ Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de-Sitter 3-space

Cites Work

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