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Toplam kayıt 8, listelenen: 1-8
General Helices with Lightlike Slope Axis
(Univ Nis, Fac Sci Math, 2018)
In this paper, we investigate general helices with lightlike slope axis. We give necessary and sufficient conditions for a general helix to have a lightlike slope axis. We obtain parametric equation of all general helices ...
A Note On Lamarle Formula Inminkowski 3-Space
(Tamkang Univ, 2018)
The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled ...
An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space
(Hacettepe Univ, Fac Sci, 2010)
Bertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585-588, 1987). The same problem was studied ...
General helices with spacelike slope axis in Minkowski 3-space
(World Scientific Publ Co Pte Ltd, 2019)
In the present paper, we consider general helix with spacelike slope axis for all possible types of curves in Minkowski 3-space. We give the conditions under which the curves in Minkowski 3-space have spacelike slope axis. ...
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 ...
On Timelike Bertrand Curves In Minkowski 3-Space
(Honam Mathematical Soc, 2016)
In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve ...
New Types of Canal Surfaces in Minkowski 3-Space
(Springer Basel Ag, 2016)
Canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve. In Minkowski 3-space, many authors studied canal surfaces. However, when one investigates the papers, it is obvious ...
Characterizations of timelike slant helices in Minkowski 3-space
(Univ Osijek, Dept Mathematics, 2014)
In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature ...