Ruled surfaces of non-degenerate third fundamental forms in Minkowski 3-spaces

DOI10.1016/J.AMC.2010.04.043zbMath1193.53019OpenAlexW1995040373MaRDI QIDQ984366

Chul Woo Lee, Young Ho Kim, Dae Won Yoon

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.043

zbMATH Keywords

minimal surfaceruled surfaceMinkowski spaceLaplacian operatorthird fundamental form

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• An extension of Takahashi's theorem
• Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\)
• Ruled surfaces with pointwise 1-type Gauss map
• Surfaces of revolution in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta^{II}\vec r=A\vec r\)
• Finite type ruled surfaces in Lorentz-Minkowski space
• Minimal immersions of Riemannian manifolds
• Codimension One Isometric Immersions Between Lorentz Spaces

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