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Symmetric minimal surfaces in \(\mathbb{R}^ 3\)

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Publication:1918398
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DOI10.2140/pjm.1995.171.275zbMath0865.53008OpenAlexW826317983MaRDI QIDQ1918398

Youyu Xu

Publication date: 10 July 1997

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.171.275

zbMATH Keywords

finite total curvaturesymmetric minimal surfaces


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)


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Minimal surfaces in \(\mathbb{R}^ 3\) with dihedral symmetry, Construction of \(n\)-end catenoids with prescribed flux, Minimal surfaces with catenoid ends, Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus, Minimal surfaces with symmetries, Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\), Discrete minimal nets with symmetries, Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space, Flat fronts with polyhedral symmetry in hyperbolic three-space



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