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Special Smarandache Curves In The Euclidean Space
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Book Synopsis COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE by : M. KHALIFA SAAD
Download or read book COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE written by M. KHALIFA SAAD and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE by : MUHAMMED CETIN
Download or read book SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE written by MUHAMMED CETIN and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smarandache curves of some special curves in the Galilean 3-space by : H. S. Abdel-Aziz
Download or read book Smarandache curves of some special curves in the Galilean 3-space written by H. S. Abdel-Aziz and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis SPECIAL SMARANDACHE CURVES IN R3 1 by : NURTEN (BAYRAK) GRSES
Download or read book SPECIAL SMARANDACHE CURVES IN R3 1 written by NURTEN (BAYRAK) GRSES and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame by : Kahraman Esen Ozen
Download or read book Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame written by Kahraman Esen Ozen and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space by : Suha Yılmaz
Download or read book Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space written by Suha Yılmaz and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves.
Book Synopsis Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space by : Tevfik Sahin
Download or read book Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space written by Tevfik Sahin and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space by : H.S.Abdel-Aziz
Download or read book Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space written by H.S.Abdel-Aziz and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 by : Yasin Unluturk
Download or read book Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 written by Yasin Unluturk and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Book Synopsis Special Smarandache Curves in the Euclidean Space by : Ahmad T. Ali
Download or read book Special Smarandache Curves in the Euclidean Space written by Ahmad T. Ali and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case. Besides, we illustrate examples of our main results.
Book Synopsis Spherical Images of Special Smarandache Curves in E3 by : Vahide Bulut
Download or read book Spherical Images of Special Smarandache Curves in E3 written by Vahide Bulut and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.
Book Synopsis Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space by : Gülnur Saffak Atalay
Download or read book Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space written by Gülnur Saffak Atalay and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves by : Suleyman Senyurt
Download or read book Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Book Synopsis Approximation To The Smarandache Curves in the The Null Cone by : Fatma Almaz
Download or read book Approximation To The Smarandache Curves in the The Null Cone written by Fatma Almaz and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
Book Synopsis The Smarandache Curves on 𝑆2 1 and Its Duality on 𝐻2o by : Atakan Tugkan Yakut
Download or read book The Smarandache Curves on 𝑆2 1 and Its Duality on 𝐻2o written by Atakan Tugkan Yakut and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 2, 2010 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 2, 2010 written by Linfan Mao and published by Infinite Study. This book was released on with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Book Synopsis DUAL SMARANDACHE CURVES AND SMARANDACHE RULED SURFACES by : TANJU KAHRAMAN
Download or read book DUAL SMARANDACHE CURVES AND SMARANDACHE RULED SURFACES written by TANJU KAHRAMAN and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, by considering dual Darboux frame, we define dual Smarandache curves lying fully on unit dual sphere S2 and corresponding ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) α(s) and its dual Smarandache curve (Smarandache ruled surface) α1(s) and we give an example for dual Smarandache curves of a dual spherical curve.
