SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE
Title | SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE PDF eBook |
Author | MUHAMMED CETIN |
Publisher | Infinite Study |
Pages | 14 |
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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.
Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime
Title | Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime PDF eBook |
Author | E. M. Solouma |
Publisher | Infinite Study |
Pages | 9 |
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In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space
Title | Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space PDF eBook |
Author | Suha Yılmaz |
Publisher | Infinite Study |
Pages | 15 |
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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. Also, some characterizations of Smarandache breadth curves in Euclidean 3space are presented. Besides, we illustrate examples of our results.
Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
Title | Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF eBook |
Author | Gülnur Saffak Atalay |
Publisher | Infinite Study |
Pages | 11 |
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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.
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.
Smarandache curves in Euclidean 4- space E 4
Title | Smarandache curves in Euclidean 4- space E 4 PDF eBook |
Author | Mervat Elzawy |
Publisher | Infinite Study |
Pages | 4 |
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Genre | Mathematics |
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The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.
On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space
Title | On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space PDF eBook |
Author | H. S. Abdel-Aziz |
Publisher | Infinite Study |
Pages | 21 |
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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.