On helicoidal surfaces in a conformally flat 3-space

DOI10.1007/s00009-017-0967-xzbMath1377.53025OpenAlexW2734740303MaRDI QIDQ1679164

Jae Won Lee, Chul Woo Lee, Dae Won Yoon

Publication date: 8 November 2017

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

Full work available at URL: https://doi.org/10.1007/s00009-017-0967-x

zbMATH Keywords

mean curvatureextrinsic curvaturehelicoidal surfaceconformally flat 3-space

Mathematics Subject Classification ID

Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items (2)

Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ Helicoidal surfaces in some conformally flat pseudo-spaces of dimensional three

Cites Work

• Surfaces of revolution with prescribed mean curvature
• Helicoidal surfaces with prescribed mean or Gaussian curvature
• Surfaces of rotation with constant extrinsic curvature in a conformally flat 3-space
• Helicoidal surfaces in three-dimensional Minkowski space
• Helicoidal surfaces under the cubic screw motion in Minkowski 3-space
• HELICOIDAL MINIMAL SURFACES IN A CONFORMALLY FLAT 3-SPACE
• HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil₃

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