Ruled surfaces with lightlike ruling in 3-Minkowski space

DOI10.1016/j.geomphys.2008.10.003zbMath1157.53004OpenAlexW2005654720MaRDI QIDQ2518940

Liu Hui-Li

Publication date: 21 January 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.10.003

zbMATH Keywords

ruled surfaceB-scrollassociated curveassociated surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (13)

Structure Functions of Ruled Surfaces with Null Rulings ⋮ Unnamed Item ⋮ Slant ruled surfaces and slant developable surfaces of spacelike curves in Lorentz-Minkowski 3-space ⋮ Riccati equations and cone curves in Minkowski 3-space ⋮ Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space ⋮ A new characterization of null scrolls as parallel surfaces ⋮ Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space ⋮ Structures and properties of null scroll in Minkowski 3-space ⋮ Curves in affine and semi-Euclidean spaces ⋮ Representation formulas of curves in a two- and three-dimensional lightlike cone ⋮ Ruled invariants and associated ruled surfaces of a space curve ⋮ On evolutoids and pedaloids in Minkowski 3-space ⋮ Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space

Cites Work

• Unnamed Item
• Extended \(B\)-scrolls and their Gauss maps
• On surfaces in the 3-dimensional Lorentz-Minkowski space
• On the Gauss map of \(B\)-scrolls
• 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\)
• \(B\)-scrolls with non-diagonalizable shape operators.
• Curves in the lightlike cone
• Codimension One Isometric Immersions Between Lorentz Spaces
• On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms

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