HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil3

DOI10.1142/S0129167X13501073zbMath1284.53058OpenAlexW2078078886MaRDI QIDQ5401595

Dae Won Yoon, Young Ho Kim, Jae Won Lee, Dongsoo S. Kim

Publication date: 10 March 2014

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

Full work available at URL: https://doi.org/10.1142/s0129167x13501073

zbMATH Keywords

Heisenberg groupmean curvatureGaussian curvaturehelicoidal surfaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

On helicoidal surfaces in a conformally flat 3-space ⋮ Helicoidal surfaces in some conformally flat pseudo-spaces of dimensional three ⋮ Helicoidal surfaces with prescribed curvatures in a conformally flat 3-space ⋮ Surfaces of revolution with prescribed mean and skew curvatures in Lorentz-Minkowski space ⋮ Constructions of helicoidal surfaces in Euclidean space with density ⋮ Unnamed Item

Cites Work

• Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
• Surfaces of revolution with prescribed mean curvature
• Helicoidal surfaces with prescribed mean or Gaussian curvature
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• Invariant surfaces of the Heisenberg groups
• Helicoidal surfaces in three-dimensional Minkowski space
• Helicoidal surfaces under the cubic screw motion in Minkowski 3-space
• Invariant surfaces of a three-dimensional manifold with constant Gauss curvature

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