Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair
Title | Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair PDF eBook |
Author | Suleyman Senyurt |
Publisher | Infinite Study |
Pages | 13 |
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Genre | Mathematics |
ISBN |
In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.
Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space
Title | Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space PDF eBook |
Author | H.S.Abdel-Aziz |
Publisher | Infinite Study |
Pages | 13 |
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In the present paper, Smarandache curves for some special curves in the threedimensional Galilean space G3are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced. Furthermore, some properties for these curves are given. Finally, in the light of this study, some related examples of these curves are provided.
Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves
Title | Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves PDF eBook |
Author | Suleyman Senyurt |
Publisher | Infinite Study |
Pages | 15 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves
Title | Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves PDF eBook |
Author | Suleyman Senyurt |
Publisher | Infinite Study |
Pages | 15 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Spherical Images of Special Smarandache Curves in E3
Title | Spherical Images of Special Smarandache Curves in E3 PDF eBook |
Author | Vahide Bulut |
Publisher | Infinite Study |
Pages | 12 |
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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.
SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR
Title | SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR PDF eBook |
Author | Süleyman Şenyurt |
Publisher | Infinite Study |
Pages | 10 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we investigate special Smarandache curves with regard to Sabban frame for Mannheim partner curve spherical indicatrix. We created Sabban frame belonging to this curves. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curves. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.
SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE
Title | SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE PDF eBook |
Author | MUHAMMED CETIN |
Publisher | Infinite Study |
Pages | 14 |
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Genre | |
ISBN |
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.