A characterization of the periodic Callahan-Hoffman-Meeks surfaces in terms of their symmetries

DOI10.1215/S0012-7094-97-08920-1zbMath0901.53006OpenAlexW29237569MaRDI QIDQ1373181

Francisco Martín, Domingo Rodríguez

Publication date: 22 November 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08920-1

zbMATH Keywords

minimal surfacesends

Mathematics Subject Classification ID

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

Related Items (2)

Triply periodic minimal surfaces which converge to the Hoffman–Wohlgemuth example ⋮ A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries

Cites Work

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• The structure of singly-periodic minimal surfaces
• A rigidity theorem for properly embedded minimal surfaces in \(R^ 3\)
• Embedded minimal surfaces with an infinite number of ends
• The geometry of periodic minimal surfaces
• A characterization of Riemann's minimal surfaces
• Embedded minimal surfaces: Forces, topology and symmetries
• A Family of Singly Periodic Minimal Surfaces Invariant under a Screw Motion
• Embedded minimal surfaces of finite topology

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