Helicoidal minimal surfaces in hyperbolic space

DOI10.1017/S0027763000001409zbMath0699.53067OpenAlexW1524933343MaRDI QIDQ3477628

Jaime Bruck Ripoll

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0027763000001409

zbMATH Keywords

minimal surfacehelicoidal surfacesangular pitch

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (4)

Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ Characterization of manifolds of constant curvature by ruled surfaces ⋮ Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces

Cites Work

• Complete minimal varieties in hyperbolic space
• The influence of the boundary behaviour on hypersurfaces with constant mean curvature in \(H^{n+1}\)

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