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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In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
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 |
Release | |
Genre | Mathematics |
ISBN |
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.
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.
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 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.
Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space
Title | Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space PDF eBook |
Author | Tevfik Sahin |
Publisher | Infinite Study |
Pages | 15 |
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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.
Smarandache curves of some special curves in the Galilean 3-space
Title | Smarandache curves of some special curves in the Galilean 3-space PDF eBook |
Author | H. S. Abdel-Aziz |
Publisher | Infinite Study |
Pages | 11 |
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In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space G3. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.