Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space

DOI10.1515/math-2016-0072zbMath1355.53011OpenAlexW2554791383MaRDI QIDQ2374320

Liang Chen

Publication date: 15 December 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0072

zbMATH Keywords

singularitiescontactheight functionspace-like curvepedal curve

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)

Related Items (2)

Pedal and contrapedal curves of framed immersions in the Euclidean 3-space ⋮ Involute–evolute and pedal–contrapedal curve pairs on S²

Cites Work

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• Anti de Sitter horospherical flat timelike surfaces
• The horospherical Gauss-Bonnet type theorem in hyperbolic space
• Singularities of Anti de Sitter torus Gauss maps
• On spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint
• Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces
• The geometry of surfaces in 4-space from a contact viewpoint
• The singularities of null surfaces in Anti de Sitter 3-space
• Spacelike parallels and evolutes in Minkowski pseudo-spheres
• The normal singularities of a submanifold
• Sphere stratifications and the Gauss map
• Generic Geometry, Transversality and Projections
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• LIGHTCONE DUALITIES FOR CURVES IN THE SPHERE
• THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

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