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Toplam kayıt 43, listelenen: 21-30
On Darboux helices in Euclidean 4-space
(Wiley, 2019)
The notion of Darboux helix in Euclidean 3-space was introduced and studied by Yayli et al. 2012. They show that the class of Darboux helices coincide with the class of slant helices. In a special case, if the curvature ...
A New Method For Construction Of Ph-Helical Curves In E-3
(Publ House Bulgarian Acad Sci, 2019)
Helices curves are characterized by the property that their unit tangents maintain a constant inclination with respect to a fixed line, the axis of the helix. If a polynomial space curve is helical, it must be a ...
On Generalized Spacelike Mannheim Curves in Minkowski Space-Time
(Natl Acad Sciences India, 2016)
In this paper, by taking consideration of all possible causal characters of the plane spanned by {B-1*; B-2* }, we give the necessary and sufficient conditions for spacelike curves in E-1(4) to be generalized spacelike ...
General Helices with Timelike Slope Axis in Minkowski 3-Space
(Springer Basel Ag, 2016)
In the present paper, we consider the general helices in Minkowski 3-space to have a constant timelike slope axis. As a result, we show that there exists no pseudo null helix with constant timelike slope axis or spacelike ...
Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
(Academic Publication Council, 2015)
In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casual characters of (1,3)-normal plane which is a plane spanned by the principal normal and the second binormal vector fields of the given curve. ...
Elastic Sturmian spirals in the Lorentz-Minkowski plane
(De Gruyter Poland Sp Zoo, 2016)
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more ...
Differential Geometry From a Singularity Theory Viewpoint
(Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences, 2016)
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Sturmian Spirals In Lorentz-Minkowski Plane
(Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences, 2015)
The Sturm spirals which can be introduced as those plane curves whose curvature radius is equal to the distance from the origin are embedded in to one parameter family of curves. In this paper, we consider the spacelike ...
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
(Springer Basel Ag, 2016)
In this paper, we study bi-null curves in semi-Euclidean 6-space with index 3, R-3(6). We construct the Frenet frame and Cartan curvature functions of bi-null curves in R-3(6). Also we discuss some properties of bi-null ...
On (1, 3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
(Springer Basel Ag, 2016)
In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2.