Smarandache curves in Euclidean 4- space E 4 PDF Download
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Author: Mervat Elzawy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4.
Author: Mervat Elzawy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4.
Author: M. KHALIFA SAAD
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24
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Book Description
In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.
Author: Bahar UYAR DÜLDÜL
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
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Book Description
In this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.
Author: M. Elzawy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 4
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Book Description
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frenet- Serret invariants for the Smarandache curve in G 4 . The first, second and third curvature of Smarandache curve are calculated. These values depending upon the first, second and third curvature of the given curve. Examples will be illustrated.
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: M. Elzawy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
Author: Yasin Unluturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
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: Suha Yılmaz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves. Also, some characterizations of Smarandache breadth curves in Euclidean 3space are presented. Besides, we illustrate examples of our results.
Author: M. Khalifa Saad
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
In this paper, we study space and timelike admissible Smarandache curves in the pseudo-Galilean space. Also, we obtain Smarandache curves of the position vector of space and timelike arbitrary curve with some of its special curves. Finally, we defray and illustrate some examples to confirm our main results.
