Curves and surfaces of spacelike curves according to Bishop frame and their singularities

DOI10.22436/jnsa.010.09.39zbMath1412.32022OpenAlexW2760566940MaRDI QIDQ4632726

Haiming Liu, Jiajing Miao, Dong He Pei

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.09.39

zbMATH Keywords

Minkowski 3-spaceBishop frameLegendrian dualitiesspacelike curves

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Non-Euclidean differential geometry (53A35)

Related Items (1)

Singularities of non-lightlike developable surfaces in Minkowski 3-space

Cites Work

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• Cusps of Bishop spherical indicatrixes and their visualizations
• Singularities of a space curve according to the relatively parallel adapted frame and its visualization
• On characterization of \(\mathfrak B\)-canal surfaces in terms of biharmonic \(\mathfrak B\)-slant helices according to Bishop frame in Heisenberg group Heis\(^{3}\)
• Nonexistence of rational rotation-minimizing frames on cubic curves
• Parallel frames of non-lightlike curves
• A new version of Bishop frame and an application to spherical images
• A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space
• The focal developable and the binormal indicatrix of a nonlightlike curve in Minkowski 3-space
• The ruled surfaces according to Bishop frame in Minkowski 3-space
• Spinor Bishop equations of curves in Euclidean 3-space
• On slant helix and its spherical indicatrix
• Legendrian dualities between spherical indicatrixes of curves and surfaces according to Bishop frame
• There is More than One Way to Frame a Curve
• Special Bishop Motion and Bishop Darboux Rotation Axis of the Space Curve

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