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 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.
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.
On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space
Title | On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space PDF eBook |
Author | Emad Solouma |
Publisher | Infinite Study |
Pages | 14 |
Release | 2023-01-01 |
Genre | Mathematics |
ISBN |
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.