Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space PDF Download
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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: 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: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21
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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.
Author: H.S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9
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Book Description
In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space. Using the usual transformation between Frenet and Darboux frames, we investi- gate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.
Author: Tevfik Sahin
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surface in the three-dimensional Galilean space G3.
Author:
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 E4 and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E4.
Author: Mervat Elzawy
Publisher: Infinite Study
ISBN:
Category : Mathematics
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 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.
Author: Suleyman Senyurt
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.
Author: MUHAMMED CETIN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
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: 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.
