Quaternionic osculating curves in Euclidean and semi-Euclidean space

DOI10.1080/1726037X.2016.1177935zbMath1499.11345MaRDI QIDQ5069602

Salim Yüce, Özcan Bektaş, Nurten Gürses (Bayrak)

Publication date: 19 April 2022

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

zbMATH Keywords

curvatureosculating curveFrenet equationsreal quaternion

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Curves in Euclidean and related spaces (53A04) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (2)

Generalized osculating curves of type (n-3) in the n-dimensional Euclidean space ⋮ A new type of quaternionic frame in ℝ4

Cites Work

• On the quaternionic \(B _{2}\)-slant helices in the Euclidean space \(E ^{4}\)
• On the quaternionic \(B_{2}\) slant helices in the semi-Euclidean space \(E^4_2\)
• Quaternion valued function of a real variable. Serret-Frenet formulae
• On the quaternionic inclined curves in the semi-Euclidean space \(E_{2}^{4}\)
• On the quaternionic Smarandache curves in Euclidean 3-space
• SOME CHARACTERIZATIONS OF QUATERNIONIC RECTIFYING CURVES IN THE SEMI-EUCLIDEAN SPACE 𝔼₂⁴
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