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Toplam kayıt 50, listelenen: 11-20
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 ...
A Note On Lamarle Formula Inminkowski 3-Space
(Tamkang Univ, 2018)
The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled ...
k-Type Bi-null Cartan Slant Helices in R-3(6)
(Southeast Asian Mathematical Soc-Seams, 2018)
In the present paper, we give the notion of k-type bi-null Cartan slant helices in R-3(6), where k ( )is an element of {1, 2, 3, 4, 5, 6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be ...
Note On Bertrand B-Pairs Of Curves In Minkowski 3-Space
(Honam Mathematical Soc, 2018)
In this paper, we define null Cartan and pseudo null Bertrand curves in Minkowski space ET according to their Bishop frames. We obtain the necessary and sufficient conditions for pseudo null curves to be Bertand B-curves ...
On Bishop frame of a null Cartan curve in Minkowski space-time
(World Scientific Publ Co Pte Ltd, 2018)
In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that ...
Harmonic curvatures and generalized helices in E-n
(Pergamon-Elsevier Science Ltd, 2009)
In n-dimensional Euclidean space E-n, harmonic curvatures of a non-degenerate curve defined by Ozdamar and Haci-salihoglu [Ozdamar E, Hacisalihoglu HH. A characterization of Inclined curves in Euclidean n-space. Comm Fac ...
PARTIAL Delta-DIFFERENTIATION FOR MULTIVARIABLE FUNCTIONS ON n-DIMENSIONAL TIME SCALES
(Element, 2009)
The general idea of this paper is to study a differential calculus for multivariable functions on time scales. Such a calculus can be used to develop a theory of partial dynamic equations on time scales.
THE FIRST KIND AND THE SECOND KIND OSCULATING CURVES IN MINKOWSKI SPACE-TIME
(Publ House Bulgarian Acad Sci, 2009)
In this paper we define the first kind and the second kind osculating curve in Minkowski space-time E-1(4). We restrict our investigation of osculating curves in E-1(4) to spacelike curves whose Frenet frame contains only ...
An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space
(Hacettepe Univ, Fac Sci, 2010)
Bertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585-588, 1987). The same problem was studied ...
Directional del-derivative and Curves on n-dimensional Time Scales
(Springer, 2009)
The general ideal in this paper is to study a differential calculus for multivariable functions, directional del-derivative and curves of parametric equations on n-dimensional time scales.