Computing Special Smarandache Curves According To Darboux Frame In Euclidean 4 Space
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Computing Special Smarandache Curves According To Darboux Frame In Euclidean 4 Space
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Author : M. KHALIFA SAAD
language : en
Publisher: Infinite Study
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Computing Special Smarandache Curves According To Darboux Frame In Euclidean 4 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 Mathematics categories.
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.
Smarandache Curves According To The Extended Darboux Frame In Euclidean 4 Space
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Author : Bahar UYAR DÜLDÜL
language : en
Publisher: Infinite Study
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Smarandache Curves According To The Extended Darboux Frame In Euclidean 4 Space written by Bahar UYAR DÜLDÜL 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, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.
Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space
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Author : H.S. Abdel-Aziz
language : un
Publisher: Infinite Study
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Computation Of Smarandache Curves According To Darboux Frame In Minkowski 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 Mathematics categories.
In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E 3 1. Using the usual transformation between Frenet and Darboux frames, we investigate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.
Smarandache Curves According To Bishop Frame In Euclidean 3 Space
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Author : MUHAMMED CETIN
language : en
Publisher: Infinite Study
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Smarandache Curves According To Bishop Frame In Euclidean 3 Space written by MUHAMMED CETIN 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 investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space
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Author : Gülnur Saffak Atalay
language : en
Publisher: Infinite Study
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Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space written by Gülnur Saffak Atalay 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 analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.
Trajectories Generated By Special Smarandache Curves According To Positional Adapted Frame
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Author : Kahraman Esen Ozen
language : en
Publisher: Infinite Study
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Trajectories Generated By Special Smarandache Curves According To Positional Adapted Frame written by Kahraman Esen Ozen 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 differential geometry, the theory of curves has an important place. The concept of moving frames defined on curves is an important part of this theory. Recently, Ozen and Tosun have introduced a new moving frame for the trajectories with non-vanishing angular momentum in 3-dimensional Euclidean space (J. Math. Sci. Model. 4(1), 2021). This frame is called positional adapted frame. In the present study, we investigate the special trajectories generated by Smarandache curves according to positional adapted frame in E3 and we calculate the Serret-Frenet apparatus of these trajectories. Later, we consider a specific curve and obtain the parametric equations of the aforesaid special trajectories for this curve. Finally, we give the graphics of these obtained special trajectories which were drawn with the mathematica program. The results obtained here are new contributions to the field. We expect that these results will be useful in some specific applications of differential geometry and particle kinematics in the future.
Assesment Of Smarandache Curves In The Null Cone Q2
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Author : MIHRIBAN KULAHCI
language : en
Publisher: Infinite Study
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Assesment Of Smarandache Curves In The Null Cone Q2 written by MIHRIBAN KULAHCI 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 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.
On The Tangent Indicatrix Of Special Viviani S Curve And Its Corresponding Smarandache Curves According To Sabban Frame
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Author : Suleyman Senyurt
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
On The Tangent Indicatrix Of Special Viviani S Curve And Its Corresponding Smarandache Curves According To Sabban Frame written by Suleyman Senyurt 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.
The paper revisits the special Viviani’s curve and introduces some special Smarandache curves according to Sabban frame. First, Frenet-Serret frame is obtained for the curve, second Saban frame is constructed by considering the tangent indicatrix. Then, the Smarandache curves are defined according to Saban frame. Finally, for each Smarandache curve, the geodesic curvatures are calculated and expressed with the principal curvatures of the special Viviani’s curve.
The Smarandache Curves On 2 1 And Its Duality On 2 0
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Author : Atakan Tugkan Yakut
language : en
Publisher: Infinite Study
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The Smarandache Curves On 2 1 And Its Duality On 2 0 written by Atakan Tugkan Yakut 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.
We introduce special Smarandache curves based on Sabban frame on 𝑆2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Special Smarandache Curves In R3 1
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Author : NURTEN (BAYRAK) GRSES
language : en
Publisher: Infinite Study
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Special Smarandache Curves In R3 1 written by NURTEN (BAYRAK) GRSES 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 di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves by using the existing studies.