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Toplam kayıt 36, listelenen: 11-20
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 ...
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 the position vector of a surface curve in Euclidean 3-space
(Ovidius Univ Press, 2011)
In this paper, we give some characterizations of position vector of a unit speed curve in a regular surface M subset of E-3 which always lies in the planes spanned by {T, Z}, {T, Y} and {Y, Z}, respectively, by using ...
A new approach to Bertrand curves in Euclidean 3-space
(SPRINGER BASEL AG, 2020)
In this article, a new approach is given for Bertrand curves in 3-dimensional Euclidean space. According to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve ...
On Darboux helices in Euclidean 4-space
(Wiley, 2019)
The notion of Darboux helix in Euclidean 3-space was introduced and studied by Yayli et al. 2012. They show that the class of Darboux helices coincide with the class of slant helices. In a special case, if the curvature ...
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 ...
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
(Springer Basel Ag, 2016)
In this paper, we study bi-null curves in semi-Euclidean 6-space with index 3, R-3(6). We construct the Frenet frame and Cartan curvature functions of bi-null curves in R-3(6). Also we discuss some properties of bi-null ...
Generalized pseudo null Bertrand curves in semi-Euclidean 4-space with index 2
(Springer-Verlag Italia Srl, 2016)
In this paper, we study generalized pseudo null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. We get the necessary and sufficient conditions for pseudo null curves to be generalized Bertrand curves and we ...
Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
(Academic Publication Council, 2015)
In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casual characters of (1,3)-normal plane which is a plane spanned by the principal normal and the second binormal vector fields of the given curve. ...