Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime
Title | Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime PDF eBook |
Author | E. M. Solouma |
Publisher | Infinite Study |
Pages | 9 |
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In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
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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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.
Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space
Title | Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space PDF eBook |
Author | Suha Yılmaz |
Publisher | Infinite Study |
Pages | 15 |
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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.
Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2
Title | Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 PDF eBook |
Author | Yasin Unluturk |
Publisher | Infinite Study |
Pages | 15 |
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A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space
Title | Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space PDF eBook |
Author | Bahar UYAR DÜLDÜL |
Publisher | Infinite Study |
Pages | 6 |
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Genre | Mathematics |
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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.
COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE
Title | COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE PDF eBook |
Author | M. KHALIFA SAAD |
Publisher | Infinite Study |
Pages | 24 |
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Genre | Mathematics |
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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.
On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space
Title | On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space PDF eBook |
Author | H. S. Abdel-Aziz |
Publisher | Infinite Study |
Pages | 21 |
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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.