An application of N-Bishop frame to spherical images for direction curves

DOI10.1142/S0219887817501626zbMath1380.53010OpenAlexW2741032319MaRDI QIDQ4599425

Özgür Keskin, Yusuf Yayli

Publication date: 2 January 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501626

zbMATH Keywords

general helixslant helixspherical images\(N\)-Bishop frame

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (11)

Unnamed Item ⋮ On Bishop frame of a null Cartan curve in Minkowski space-time ⋮ On the timelike sweeping surfaces and singularities in Minkowski 3-space \(\mathbb{E}_1^3\) ⋮ Singularities of non-lightlike developable surfaces in Minkowski 3-space ⋮ Some new characterizations of a space curve due to a modified frame \(\left\{\vec{N}, \vec{C}, \vec{W}\right\}\) in Euclidean 3-space ⋮ Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space ⋮ Timelike sweeping surfaces and singularities ⋮ A pair of kinematically related space curves ⋮ On Bishop frame of a pseudo null curve in Minkowski space-time ⋮ NOTE ON BERTRAND B-PAIRS OF CURVES IN MINKOWSKI 3-SPACE ⋮ The slant helices according to N-Bishop frame of the spacelike curve with spacelike principal normal in Minkowski 3-space

Cites Work

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• On characterization of \(\mathfrak B\)-canal surfaces in terms of biharmonic \(\mathfrak B\)-slant helices according to Bishop frame in Heisenberg group Heis\(^{3}\)
• A new approach on curves of constant precession
• A new version of Bishop frame and an application to spherical images
• On characterization of inextensible flows of curves according to type-2 Bishop frame \(E^3\)
• 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
• Relation between Darboux and type-2 Bishop frames in Euclidean space
• N-Legendre and N-slant curves in the unit tangent bundle of Minkowski surfaces
• The slant helices according to bishop frame of the spacelike curve in Lorentzian space
• There is More than One Way to Frame a Curve
• On the curvatures of tubular surface with bishop frame
• Special Bishop Motion and Bishop Darboux Rotation Axis of the Space Curve

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