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Special Equiform Smarandache Curves In Minkowski Space Time


Special Equiform Smarandache Curves In Minkowski Space Time
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Special Equiform Smarandache Curves In Minkowski Space Time


Special Equiform Smarandache Curves In Minkowski Space Time
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Author : E.M. Solouma
language : en
Publisher: Infinite Study
Release Date :

Special Equiform Smarandache Curves In Minkowski Space Time written by E.M. Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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 E31.



Special Equiform Smarandache Curves In Minkowski Space Time


Special Equiform Smarandache Curves In Minkowski Space Time
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Author : E.M. Solouma
language : un
Publisher: Infinite Study
Release Date :

Special Equiform Smarandache Curves In Minkowski Space Time written by E.M. Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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


On Spacelike Equiform Bishop Smarandache Curves On S21
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Author : E. M. Solouma
language : en
Publisher: Infinite Study
Release Date :

On Spacelike Equiform Bishop Smarandache Curves On S21 written by E. M. Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



Equiform Spacelike Smarandache Curves Of Anti Eqiform Salkowski Curve According To Equiform Frame


Equiform Spacelike Smarandache Curves Of Anti Eqiform Salkowski Curve According To Equiform Frame
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Author : Emad Solouma
language : en
Publisher: Infinite Study
Release Date :

Equiform Spacelike Smarandache Curves Of Anti Eqiform Salkowski Curve According To Equiform Frame written by Emad Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space


On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space
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Author : Emad Solouma
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space written by Emad Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


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.



Investigation Of Special Type Smarandache Ruled Surfaces Due To Rotation Minimizing Darboux Frame


Investigation Of Special Type Smarandache Ruled Surfaces Due To Rotation Minimizing Darboux Frame
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Author : Emad Solouma
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

Investigation Of Special Type Smarandache Ruled Surfaces Due To Rotation Minimizing Darboux Frame written by Emad Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.


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.



Special Smarandache Curves With Respect To Darboux Frame In Galilean 3 Space


Special Smarandache Curves With Respect To Darboux Frame In Galilean 3 Space
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Author : Tevfik Sahin
language : en
Publisher: Infinite Study
Release Date :

Special Smarandache Curves With Respect To Darboux Frame In Galilean 3 Space written by Tevfik Sahin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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 And Spherical Indicatrices In The Galilean 3 Space


Smarandache Curves And Spherical Indicatrices In The Galilean 3 Space
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Author : H.S.Abdel-Aziz
language : en
Publisher: Infinite Study
Release Date :

Smarandache Curves And Spherical Indicatrices In The Galilean 3 Space written by H.S.Abdel-Aziz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces


Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces
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Author : Stuti Tamta
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces written by Stuti Tamta and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


In this paper, we study the developable TN, TB, and NB-Smarandache ruled surface with a pointwise 1-type Gauss map. In particular, we obtain that every developable TN-Smarandache ruled surface has constant mean curvature, and every developable TB-Smarandache ruled surface is minimal if and only if the curve is a place curve with non-zero curvature or a helix, and every developable NB-Smarandache ruled surface is always plane. We also provide some examples.



Spacelike And Timelike Admissible Smarandache Curves In Pseudo Galilean Space


Spacelike And Timelike Admissible Smarandache Curves In Pseudo Galilean Space
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Author : M. Khalifa Saad
language : un
Publisher: Infinite Study
Release Date :

Spacelike And Timelike Admissible Smarandache Curves In Pseudo Galilean Space written by M. Khalifa Saad and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, we study space and timelike admissible Smarandache curves in the pseudo Galilean space G1 3.