Ara
Toplam kayıt 44, listelenen: 1-10
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 ...
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 ...