A new version of Bishop frame and an application to spherical images

S Yılmaz, M Turgut - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
In this work, we introduce a new version of Bishop frame using a common vector field as
binormal vector field of a regular curve and call this frame as “Type-2 Bishop Frame” …

Position vector of a time-like slant helix in Minkowski 3-space

AT Ali, M Turgut - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
In this paper, position vector of a time-like slant helix with respect to standard frame of
Minkowski space E31 is studied in terms of Frenet equations. First, a vector differential …

Notes on magnetic curves in 3D semi-Riemannian manifolds

Z ÖZDEMİR, İ GÖK, Y Yayli… - Turkish Journal of …, 2015 - journals.tubitak.gov.tr
A magnetic field is defined by the property that its divergence is zero in three-dimensional
semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose …

Non-lightlike constant angle ruled surfaces in Minkowski 3-space

AT Ali - Journal of Geometry and Physics, 2020 - Elsevier
In this paper, non-lightlike ruled surfaces of constant slope in Minkowski 3-space with a non-
lightlike base curve c (s)=∫ α t+ β n+ γ bds, where t, n, b are tangent, principal normal and …

Slant helices in three dimensional Lie groups

OZ Okuyucu, İ Gök, Y Yayli, N Ekmekci - Applied Mathematics and …, 2013 - Elsevier
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[HTML][HTML] Some associated curves of Frenet non-lightlike curves in E13

JH Choi, YH Kim, AT Ali - Journal of Mathematical Analysis and …, 2012 - Elsevier
In this paper, we introduce the notion of the principal (binormal)-directional curve and the
principal (binormal)-donor curve of the Frenet curve in the Minkowski space E13 …

Framed slant helices in Euclidean 3-space

OZ Okuyucu, M Canbirdi - Advances in Difference Equations, 2021 - Springer
In this paper, we define framed slant helices and give a necessary and sufficient condition
for them in three-dimensional Euclidean space. Then, we introduce the spherical images of …

On some curves with modified orthogonal frame in Euclidean 3-space

MS Lone, H Es, MK Karacan, B Bukcu - Iranian Journal of Science and …, 2019 - Springer
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[PDF][PDF] Position vectors of curves in the galilean space G

AT Ali - Matematički Vesnik, 2012 - eudml.org
<noindent MATEMATIQKI VESNIK < hfill originalni nauqni rad <hspace ∗1< fill l64 , 3 ( 20 1
2 ) , 200 -- 2 1 0 < Page 1 <noindent MATEMATIQKI VESNIK < hfill originalni nauqni rad <hspace …

On non-null relatively normal-slant helices in Minkowski 3-space

E Nešović, U Öztürk, ÖEB Koç - Filomat, 2022 - doiserbia.nb.rs
By using the Darboux frame| ξ, ζ, η| of a non-null curve lying on a timelike surface in
Minkowski 3-space, where ξ is the unit tangent vector of the curve, η is the unit spacelike …