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Toplam kayıt 50, listelenen: 1-10
Position vectors of a timelike and a null helix in Minkowski 3-space
(Pergamon-Elsevier Science Ltd, 2008)
In this paper, we study the position vectors of a timelike and a null helix (or a W-curve), i.e. curve with constant curvatures in the Minkowski 3-space E-1(3). We give some characterizations for timelike and null helix ...
On Generalized Null Mannheim Curves In Minkowski Space-Time
(Publications L Institut Mathematique Matematicki, 2016)
We define generalized null Mannheim curves in Minkowski space-time and characterize them and their generalized Mannheim mate curves in terms of curvature functions, and obtain relations between their frames. We provide ...
Frenet Curves in Euclidean 4-Space
(Int Electronic Journal Geometry, 2017)
In this paper, we study rectifying curves arising through the dilation of unit speed curves on the unit sphere S-3 and conclude that arcs of great circles on S-3 do not dilate to rectifying curves, which develope previously ...
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 ...
On osculating, normal and rectifying bi-null curves in (6)(3)
(Taylor & Francis Ltd, 2017)
In this paper we give the necessary and sufficient conditions for bi-null curves in (6)(3) to be osculating, normal or rectifying curves in terms of their curvature functions.
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 ...
Ruled surfaces with bi-null curves in R-2(5)
(Springer-Verlag Italia Srl, 2017)
In the present paper, we discuss the geometric properties of two classes of ruled surfaces whose directrix curve is a bi-null curve in semi-Euclidean space R-2(5). We get some classes of flat marginally trapped surfaces in R-2(5).
k-Type bi-null slant helices in R-2(5)
(Springer Basel Ag, 2017)
In the present paper, we give the notion of k-type bi-null slant helices in R-2(5), where k is an element of {0, 1, 2, 3, 4}. We give the necessary and sufficient conditions for bi-null curves to be k-type slant helices ...
Lorentzian stationary surfaces and bi-null curves in R-2(5)
(World Scientific Publ Co Pte Ltd, 2017)
In this paper, we study Lorentzian stationary surfaces related to bi-null curves in R-2(5). Considering a Gauss-like map, we get Lorentzian stationary surfaces and marginally trapped surfaces in the pseudo-sphere S-2(4) (1).
On Generalized Timelike Mannheim Curves in Minkowski Space-time
(Taylor & Francis Ltd, 2015)
In Minkowski space-time, timelike generalized Mannheim curves are studied by Akyigit and et al in [1]. In that paper, the authors take the Mannheim mate alpha* of the timelike curve a as a timelike curve in Minkowski ...