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Toplam kayıt 15, 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 ...
Position vectors of a spacelike W-curve in minkowski space E-1(3)
(Korean Mathematical Soc, 2007)
In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space E-1(3). We give some ...
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 ...
On Pseudospherical Smarandache Curves in Minkowski 3-Space
(Hindawi Ltd, 2014)
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions ...
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 ...