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

zbMath1294.53015MaRDI QIDQ2509815

Oscar M. Perdomo

Publication date: 30 July 2014

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1403534487

zbMATH Keywords

Roulettefocus of a conicTreadmillSled

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)

Related Items (7)

Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ On the period of the periodic orbits of the restricted three body problem ⋮ Translating solitons for the inverse mean curvature flow ⋮ Equilibrium shapes of cylindrical rotating liquid drops ⋮ Helicoidal flat surfaces in the 3‐sphere ⋮ Constant-speed ramps for a central force field ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow

Cites Work

• A dynamical interpretation of the profile curve of CMC twizzler surfaces
• Helicoidal surfaces with constant mean curvature
• Helicoidal surfaces rotating/translating under the mean curvature flow
• Helicoidal surfaces with constant anisotropic mean curvature

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