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.
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.
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.
Download or read book Spacelike and timelike admissible Smarandache curves in pseudo Galilean space written by M. Khalifa Saad and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Smarandache curves in the Galilean 4 space G 4 written by M. Elzawy and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space written by H. S. Abdel-Aziz and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE written by F. Almaz and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Smarandache curves in the Galilean 4 space G4 written by M. Elzawy and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study Smarandache curves in the 4-dimensional Galilean space G4.
Download or read book Special equiform Smarandache curves in Minkowski space time written by E.M. Solouma 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 paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve ζon a spacelike surface M in Minkowski 3-space E 3 1 . Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves in E 3 1 . Moreover, we give some properties to these curves when the curve ζhas constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.
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.
Download or read book On Characterizations of Curves in The Galilean Plane written by Zühal Küçükarslan Yüzbası and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study Smarandache curves and curves of constant breadth by using the Galilean plane frame in G2. Moreover, we get some characterizations of these types of special curves in G2.
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.
Download or read book ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 written by MIHRIBAN KULAHCI 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 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.
Download or read book On Pseudohyperbolical Smarandache Curves in Minkowski 3 Space written by Esra Betul Koc Ozturk and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space.We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves. Finally, we give some examples of such curves.
Download or read book On Pseudospherical Smarandache Curves in Minkowski 3 Space written by Esra Betul Koc Ozturk 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 define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.
