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Toplam kayıt 13, listelenen: 1-10
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).
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 ...
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 ...
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.
Position vectors of a spacelike W-curve in minkowski space E-1(3)
(Korean Mathematical Soc, 2007)
In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space E-1(3). We give some ...
Tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve
(Academic Publication Council, 2007)
In this paper, we classify all minimal, totally real and complex tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve.
A new approach to design the ruled surface
(World Scientific Publ Co Pte Ltd, 2019)
This paper considers a kind of design of a ruled surface. The design interconnects some concepts from the fields of computer-aided geometric design (CAGD) and kinematics. Dual unit spherical Bezier-like curves on the dual ...