Special Bishop Motion and Bishop Darboux Rotation Axis of the Space Curve

DOI10.1080/1726037X.2008.10698542zbMath1172.53001MaRDI QIDQ5503444

Bahaddin Bukcu, Murat Kemal Karacan

Publication date: 15 January 2009

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

Bishop frameparallel transport frameBishop-Darboux rotation axisBishop-Darboux vector

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04)

Related Items (18)

Motion of Bishop Frenet offsets of ruled surfaces in \(E^3\) ⋮ Unnamed Item ⋮ Surface family with a common Mannheim B-pair asymptotic curve ⋮ On special type-2 Bishop motion and Bishop Darboux rotation axes of the space curve ⋮ An application of N-Bishop frame to spherical images for direction curves ⋮ Ruled surfaces according to Bishop frame in the Euclidean 3-space ⋮ Singularities of a space curve according to the relatively parallel adapted frame and its visualization ⋮ Curves and surfaces of spacelike curves according to Bishop frame and their singularities ⋮ 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 version of Bishop frame and an application to spherical images ⋮ Type-2 spacelike Bishop frame and an application to spherical image in Minkowski space-time ⋮ Relation between Darboux and type-2 Bishop frames in Euclidean space ⋮ The slant helices according to N-Bishop frame of the spacelike curve with spacelike principal normal in Minkowski 3-space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• On the Darboux rotation axis of Lorentz space curve
• There is More than One Way to Frame a Curve

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