Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of timelike curve on unit dual Lorentzian sphere.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of timelike curve on unit dual Lorentzian sphere.
Smarandache Curves of Curves lying on Lightlike Cone in R31
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we consider the notion of the Smarandache curves by considering the asymptotic orthonormal frames of curves lying fully on lightlike cone in Minkowski 3- space R3 1. We give the relationships between Smarandache curves and curves lying on lightlike cone in R31.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we consider the notion of the Smarandache curves by considering the asymptotic orthonormal frames of curves lying fully on lightlike cone in Minkowski 3- space R3 1. We give the relationships between Smarandache curves and curves lying on lightlike cone in R31.
CONTRIBUTIONS TO DIFFERENTIAL GEOMETRY OF SPACELIKE CURVES IN LORENTZIAN PLANE L2
Author: YASIN UNLUT¨URK
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane L2.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane L2.
The Smarandache Curves
Author: Murat SAVAS
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
Smarandache curves in Euclidean or non-Euclidean spaces have been recently of particular interest for researchers. In Euclidean differential geometry, Smarandache curves of a curve are defined to be combination of its position, tangent, and normal vectors. These curves have been also studied widely. Smarandache curves play an important role in Smarandache geometry. They are the objects of Smarandache geometry, i.e. a geometry which has at least one Smarandachely denied axiom. An axiom is said to be Smarandachely denied if it behaves in at least two different ways within the same space. Smarandache geometry has a significant role in the theory of relativity and parallel universes. In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
Smarandache curves in Euclidean or non-Euclidean spaces have been recently of particular interest for researchers. In Euclidean differential geometry, Smarandache curves of a curve are defined to be combination of its position, tangent, and normal vectors. These curves have been also studied widely. Smarandache curves play an important role in Smarandache geometry. They are the objects of Smarandache geometry, i.e. a geometry which has at least one Smarandachely denied axiom. An axiom is said to be Smarandachely denied if it behaves in at least two different ways within the same space. Smarandache geometry has a significant role in the theory of relativity and parallel universes. In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.
The Smarandache Curves on 𝑆2 1 and Its Duality on 𝐻2 0
Author: Atakan Tugkan Yakut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on 𝑆2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on 𝑆2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Dual Smarandache Curves and Smarandache Ruled Surfaces
Author: Tanju KAHRAMAN
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 18
Book Description
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 18
Book Description
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.
On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space
Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21
Book Description
In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21
Book Description
In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space.
ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2
Author: MIHRIBAN KULAHCI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Author: Esra Betul Koc Ozturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelikecurve lying on pseudosphere in Minkowski 3-space.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelikecurve lying on pseudosphere in Minkowski 3-space.