Some associated curves of Frenet non-lightlike curves in \(\mathbb E_{1}^{3}\)

DOI10.1016/j.jmaa.2012.04.063zbMath1245.53026OpenAlexW2009715538MaRDI QIDQ442495

Ahmad T. Ali, Jin Ho Choi, Young Ho Kim

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.063

zbMATH Keywords

general helixslant helixMinkowski 3-spaceassociated curves

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04)

Related Items (15)

ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³ ⋮ Magnetic curves in three-dimensional quasi-para-Sasakian geometry ⋮ Unnamed Item ⋮ Associated curves of a Frenet curve in the dual Lorentzian space ⋮ Characterization of spherical and plane curves using rotation minimizing frames ⋮ On the derivative formulas of the rotation minimizing frame in Lorentz–Minkowski 3-space ⋮ Non-lightlike constant angle ruled surfaces in Minkowski 3-space ⋮ Non-lightlike ruled surfaces with constant curvatures in Minkowski 3-space ⋮ Integrability for the Rotation Minimizing Formulas in Euclidean 3-Space and Its Applications ⋮ Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in $(\mathbb{L}^{3},ax^{2}+by^{2})$ ⋮ Space-like loxodromes on rotational surfaces in Minkowski 3-space ⋮ Direction curves of tangent indicatrix of a curve ⋮ Space-like slant curves in three-dimensional normal almost paracontact geometry ⋮ SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE ⋮ General helices with lightlike slope axis

Cites Work

• Associated curves of a Frenet curve and their applications
• Bäcklund transformation for non-lightlike curves in Minkowski 3-space
• Position vectors of spacelike general helices in Minkowski 3-space
• A new version of Bishop frame and an application to spherical images
• Position vectors of a timelike and a null helix in Minkowski 3-space
• Einstein's dream and fractal geometry
• Position vector of a time-like slant helix in Minkowski 3-space
• High accuracy approximation of helices by quintic curves
• On the 3-dimensional \(k\)-Fibonacci spirals
• NULL HELICES IN LORENTZIAN SPACE FORMS
• SLANT HELICES IN MINKOWSKI SPACE E₁³
• Timelike $B_2$-slant helices in Minkowski space $E_1^4$
• Real classical strings
• Constraint-free analysis of relativistic strings
• General helices and a theorem of Lancret
• Helices
• POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼₁³
• General helices in the three-dimensional Lorentzian space forms
• Notes on superstrings and the infinite sums of Fibonacci and Lucas numbers.
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