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Toplam kayıt 40, listelenen: 31-40
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 ...
On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space
(Int Electronic Journal Geometry, 2016)
In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In ...
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 ...
New Types of Canal Surfaces in Minkowski 3-Space
(Springer Basel Ag, 2016)
Canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve. In Minkowski 3-space, many authors studied canal surfaces. However, when one investigates the papers, it is obvious ...
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 ...