SPECIAL SMARANDACHE CURVES IN R3 1
Title | SPECIAL SMARANDACHE CURVES IN R3 1 PDF eBook |
Author | NURTEN (BAYRAK) GRSES |
Publisher | Infinite Study |
Pages | 18 |
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In di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves by using the existing studies.
SPECIAL SMARANDACHE CURVES IN R3 1
Title | SPECIAL SMARANDACHE CURVES IN R3 1 PDF eBook |
Author | NURTEN (BAYRAK) GRSES |
Publisher | Infinite Study |
Pages | 18 |
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Genre | |
ISBN |
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski 3-space R3 1.
A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE
Title | A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE PDF eBook |
Author | F. Almaz |
Publisher | Infinite Study |
Pages | 14 |
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Genre | Mathematics |
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As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Approximation To The Smarandache Curves in the The Null Cone
Title | Approximation To The Smarandache Curves in the The Null Cone PDF eBook |
Author | Fatma Almaz |
Publisher | Infinite Study |
Pages | 10 |
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Genre | Mathematics |
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In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
On spacelike equiform-Bishop Smarandache curves on S21
Title | On spacelike equiform-Bishop Smarandache curves on S21 PDF eBook |
Author | E. M. Solouma |
Publisher | Infinite Study |
Pages | 17 |
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Genre | Mathematics |
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In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate these curves.
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.
ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2
Title | ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 PDF eBook |
Author | MIHRIBAN KULAHCI |
Publisher | Infinite Study |
Pages | 12 |
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In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.