A new version Darboux vector and characterization some special curves according to type-2 Bishop frame in \(\mathbb {R}^{3}\)

DOI10.1007/S40010-017-0373-6zbMath1379.53007OpenAlexW2606908951MaRDI QIDQ1692292

Ümit Ziya Savcı, Süha Yılmaz

Publication date: 26 January 2018

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-017-0373-6

zbMATH Keywords

Darboux vectorDarboux helixspherical indicatrixtype-2 Bishop frameconstant precession of the curve

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Classical differential geometry of curves according to type-2 Bishop trihedra
• A new version of Bishop frame and an application to spherical images
• On slant helix and its spherical indicatrix
• The slant helices according to bishop frame of the spacelike curve in Lorentzian space
• There is More than One Way to Frame a Curve
• Curves of Constant Precession
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