Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space

DOI10.1016/j.geomphys.2011.09.007zbMath1231.53013OpenAlexW2010032977MaRDI QIDQ654796

Yuan Yuan, Liu Hui-Li

Publication date: 21 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.09.007

zbMATH Keywords

Minkowski spaceB-scrollpitch function of ruled surface

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Structure and characterization of ruled surfaces in Euclidean 3-space ⋮ Structure Functions of Ruled Surfaces with Null Rulings ⋮ Structure and characterization of ruled surfaces in Minkowski 3-space ⋮ Structures and properties of null scroll in Minkowski 3-space ⋮ Invariants of non-developable ruled surfaces in Euclidean 3-space ⋮ Ruled invariants and associated ruled surfaces of a space curve ⋮ Notes on the lightlike hypersurfaces along spacelike submanifolds

Cites Work

• 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
• Ruled surfaces with lightlike ruling in 3-Minkowski space
• Über geschlossene Bewegungsvorgänge
• Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space
• NULL HELICES IN LORENTZIAN SPACE FORMS
• Codimension One Isometric Immersions Between Lorentz Spaces
• On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms

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