Computation of Smarandache curves according to Darboux frame in Minkowski 3-space PDF Download
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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 E 3 1. Using the usual transformation between Frenet and Darboux frames, we investigate 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: 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 E 3 1. Using the usual transformation between Frenet and Darboux frames, we investigate 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: 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: 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: 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: 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: 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: 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: Vahide Bulut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.
