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Toplam kayıt 13, listelenen: 1-10
Osculating curves in 4-dimensional semi-Euclidean space with index 2
(De Gruyter Open Ltd, 2017)
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves. Also we give some examples of non-null ...
Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
(Scientific Technical Research Council Turkey-Tubitak, 2016)
In this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given ...
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 ...
On Mannheim partner curves in dual Lorentzian space
(Hacettepe Univ, Fac Sci, 2011)
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D(1)(3), and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual ...
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 ...
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 ...
Mannheim B-Curve Couples In Minkowski 3-Space
(TAMKANG UNIV, 2020)
In this paper, we define null Cartan Mannheim and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim ...
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 ...