Equiform Spacelike Smarandache Curves of Anti-Eqiform Salkowski Curve According to Equiform Frame
Title | Equiform Spacelike Smarandache Curves of Anti-Eqiform Salkowski Curve According to Equiform Frame PDF eBook |
Author | Emad Solouma |
Publisher | Infinite Study |
Pages | 17 |
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Genre | Mathematics |
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In this paper, we construct the equiform spacelike Smarandache curves of spacelike anti-equiform Salkowski curves with timelike binormal according to equiform frame. Furthermore, we calculate the equiform Frenet apparatus of these curves. Finally, the latter curves were plotted.
Special equiform Smarandache curves in Minkowski space-time
Title | Special equiform Smarandache curves in Minkowski space-time PDF eBook |
Author | E.M. Solouma |
Publisher | Infinite Study |
Pages | 7 |
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Genre | Mathematics |
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In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve on a spacelike surface M in Minkowski 3-space. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves. Moreover, we give some properties to these curves when the curve has constant curvature or it is a circular helix. Finally, we give an example to illustrate 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.
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.
Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space
Title | Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space PDF eBook |
Author | M. Khalifa Saad |
Publisher | Infinite Study |
Pages | 8 |
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In this paper, we study space and timelike admissible Smarandache curves in the pseudo Galilean space G1 3.
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.
Investigation of Special Type-Π Smarandache Ruled Surfaces Due to Rotation Minimizing Darboux Frame
Title | Investigation of Special Type-Π Smarandache Ruled Surfaces Due to Rotation Minimizing Darboux Frame PDF eBook |
Author | Emad Solouma |
Publisher | Infinite Study |
Pages | 19 |
Release | 2024-01-01 |
Genre | Mathematics |
ISBN |
This study begins with the construction of type-Π Smarandache ruled surfaces, whose base curves are Smarandache curves derived by rotation-minimizing Darboux frame vectors of the curve in E3. The direction vectors of these surfaces are unit vectors that convert Smarandache curves. The Gaussian and mean curvatures of the generated ruled surfaces are then separately calculated, and the surfaces are required to be minimal or developable. We report our main conclusions in terms of the angle between normal vectors and the relationship between normal curvature and geodesic curvature. For every surface, examples are provided, and the graphs of these surfaces are produced.