On a theorem by do Carmo and Dajczer

DOI10.1090/S0002-9939-98-04673-5zbMath0902.53008arXivdg-ga/9609010MaRDI QIDQ4383158

Guido Haak

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9609010

zbMATH Keywords

constant mean curvature surfaceshelicoidal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (2)

Isometric deformations of the \({\mathcal K}^{\frac{1}{4}}\)-flow translators in \(\mathbb{R}^3\) with helicoidal symmetry ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

Cites Work

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• All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
• Helicoidal surfaces with constant mean curvature
• On the classification of constant mean curvature tori
• On helicoidal surfaces with constant mean curvature and their limiting surfaces
• Constant mean curvature surfaces via an integrable dynamical system

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