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Smarandache curves of some special curves in the Galilean 3-space

Smarandache curves of some special curves in the Galilean 3-space PDF Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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.

Smarandache curves of some special curves in the Galilean 3-space

Smarandache curves of some special curves in the Galilean 3-space PDF Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
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.

Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space

Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space PDF Author: H.S.Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13

Book Description
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.

Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space

Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space PDF Author: Tevfik Sahin
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15

Book Description
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.

Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space

Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space PDF Author: M. Khalifa Saad
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Book Description
In this paper, we study space and timelike admissible Smarandache curves in the pseudo-Galilean space G 13 . Also, we obtain Smarandache curves of the position vector of space and timelike arbitrary curve with some of its special curves. Finally, we defray and illustrate some examples to confirm our main results.

Smarandache curves in the Galilean 4-space G 4

Smarandache curves in the Galilean 4-space G 4 PDF Author: M. Elzawy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 4

Book Description
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.

COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE

COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE PDF Author: M. KHALIFA SAAD
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24

Book Description
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

On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space PDF Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 21

Book Description
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.

Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair

Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair PDF Author: Suleyman Senyurt
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13

Book Description
In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.

A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE

A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE PDF Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14

Book Description
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.

Smarandache curves in the Galilean 4-space G4

Smarandache curves in the Galilean 4-space G4 PDF Author: M. Elzawy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4

Book Description
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.