Minimal surfaces with only horizontal symmetries

DOI10.5402/2011/943462zbMath1225.53010arXiv0907.0988OpenAlexW2060822101WikidataQ58690179 ScholiaQ58690179MaRDI QIDQ555235

Valério Ramos Batista, Guillermo Antonio Lobos, Márcio Fabiano da Silva

Publication date: 22 July 2011

Published in: ISRN Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0988

zbMATH Keywords

minimal surfacehorizontal symmetrytriply periodic minimal surfacevertical symmetry

Mathematics Subject Classification ID

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

Cites Work

• Scherk saddle towers of genus two in \({\mathbb R^3}\)
• The doubly periodic Costa surfaces
• The classification of doubly periodic minimal tori with parallel ends
• On the genus of triply periodic minimal surfaces
• Triply periodic minimal surfaces bounded by vertical symmetry planes
• The global theory of doubly periodic minimal surfaces
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• The space of minimal annuli bounded by an extremal pair of planar curves
• Complete minimal surfaces in \(\mathbb{R}^3\)
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
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