Ara
Toplam kayıt 38, listelenen: 31-38
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 ...
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 ...
Generalized Null Bertrand Curves In Minkowski Space-Time
(Univ Al I Cuza, Fac Math, 2014)
COKEN and CIFTCI proved that a null Cartan curve in Minkowski space-time E-1(4) is a null Bertrand curve if and only if k(2) is nonzero constant and k(3) is zero. That is, the null curve with non-zero curvature k(3) is not ...
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 ...
On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space
(Hindawi Publishing Corporation, 2013)
We have generalized the involute and evolute curves of the pseudonull curves alpha in E-1(3); that is, alpha is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the ...
Some characterizations of null osculating curves in the Minkowski space-time
(Estonian Academy Publishers, 2012)
In this paper we give the necessary and sufficient conditions for null curves in E-1(4), to be osculating curves in terms of their curvature functions. In particular, we obtain some relations between null normal curves and ...
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 ...
An application of Ritt-Wu's zero decomposition algorithm to the pseudo null Bertrand type curves in Minkowski 3-space
(Springer Heidelberg, 2011)
The Bertrand curves were first studied using a computer by Wu (1987). The same problem was studied using an improved version of Ritt-Wu's decomposition algorithm by Chou and Gao (1993). This paper investigates the same ...