A note on minimal surfaces in Euclidean 3-space

DOI10.1007/s10114-007-0968-yzbMath1133.53007OpenAlexW2007271125MaRDI QIDQ2477802

Zuhuan Yu, Qingzhong Li

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0968-y

zbMATH Keywords

minimal surfaceEuclidean spaceWeierstrass representation

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
• Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

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