A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE PDF Download
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Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
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Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Get Book Here
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Get Book Here
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Author: MIHRIBAN KULAHCI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
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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.
Author: Fatma Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves.
Author: E. M. Solouma
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
In Smarandache geometry, a regular non-null curve in Minkowski 3-space, whose position vector is collected by the Frenet frame vectors of other regular non-null curve, is said to be Smarandache curve.
Author: Ahmad T. Ali
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case. Besides, we illustrate examples of our main results.
Author: E.M. Solouma
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve on a spacelike surface M in Minkowski 3-space E31.
Author: Murat SAVAS
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
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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.
Author: Esra Betul Koc Ozturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
In this paper we define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.
