On the quaternionic \(B_{2}\) slant helices in the semi-Euclidean space \(E^4_2\)

DOI10.1016/j.amc.2011.12.007zbMath1241.53005OpenAlexW2012219214MaRDI QIDQ422878

Ferdağ Kahraman, Ismail Gök, H. Hilmi Hacisalihoǧlu

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.007

zbMATH Keywords

harmonic curvaturesslant helicessemi-Euclidean spacesemi-real quaternion algebra

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Unnamed Item ⋮ Quaternionic approach of canal surfaces constructed by some new ideas ⋮ A new representation of canal surfaces with split quaternions in Minkowski 3-space ⋮ Quaternionic osculating curves in Euclidean and semi-Euclidean space ⋮ On the Quaternionic Curves in the Semi-Euclidean Space E_4_2 ⋮ Circular surfaces with split quaternionic representations in Minkowski 3-space ⋮ The slant helix solutions of the equilibrium shape equations for the biopolymer chains ⋮ Slant helices in three dimensional Lie groups

Cites Work

• On the quaternionic \(B _{2}\)-slant helices in the Euclidean space \(E ^{4}\)
• Geometry of quaternionic and pseudo-quaternionic multiplications
• On the quaternionic inclined curves in the semi-Euclidean space \(E_{2}^{4}\)
• On slant helix and its spherical indicatrix
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