Smarandache curves in Euclidean 4- space E 4
Title | Smarandache curves in Euclidean 4- space E 4 PDF eBook |
Author | Mervat Elzawy |
Publisher | Infinite Study |
Pages | 4 |
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The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4.
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.
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.
Smarandache curves in the Galilean 4-space G 4
Title | Smarandache curves in the Galilean 4-space G 4 PDF eBook |
Author | M. Elzawy |
Publisher | Infinite Study |
Pages | 4 |
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Genre | Mathematics |
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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.
Special Smarandache Curves in the Euclidean Space
Title | Special Smarandache Curves in the Euclidean Space PDF eBook |
Author | Ahmad T. Ali |
Publisher | Infinite Study |
Pages | 7 |
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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.
Smarandache curves in the Galilean 4-space G4
Title | Smarandache curves in the Galilean 4-space G4 PDF eBook |
Author | M. Elzawy |
Publisher | Infinite Study |
Pages | 4 |
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ISBN |
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
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.