Spherical Darboux images of curves on surfaces

DOI10.1007/S13366-015-0240-ZzbMath1327.53005OpenAlexW2004059873MaRDI QIDQ747579

Noriaki Ito, Shyuichi Izumiya, Satoshi Hananoi

Publication date: 16 October 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-015-0240-z

zbMATH Keywords

singularitiesDarboux frameDarboux vector fieldsisophotic curvesspherical images

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Algebraic and analytic properties of mappings on manifolds (58K20)

Related Items (7)

Helix surfaces and slant helices in the three-dimensional anti-de Sitter space ⋮ Characterizing the developable surfaces with curves whose position vectors Lie in the planes spanned by Darboux frame ⋮ Gauss maps and duality of sphere bundles ⋮ Extrinsic flat surfaces along a curve on a surface in the unit three-sphere ⋮ Derivation of slant helices on a given surface through new approaches ⋮ Lorentzian Darboux images of curves on spacelike surfaces in Lorentz–Minkowski 3-space ⋮ Curves always Lie in the plane spanned by Darboux frame

Cites Work

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• Parallelbeleuchtung konvexer Körper mit glatten Rändern. (Parallel illumination of convex bodies with smooth boundaries)
• The geometry of spherical curves and the algebra of quaternions
• On isophote curves and their characterizations

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