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Author: E. M. Solouma Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 17
Book Description
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.
Author: E. M. Solouma Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 17
Book Description
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.
Author: E.M. Solouma Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 7
Book Description
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.
Author: MUHAMMED CETIN Publisher: Infinite Study ISBN: Category : Languages : en Pages : 14
Book Description
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.
Author: Suha Yılmaz Publisher: Infinite Study ISBN: Category : Languages : en Pages : 15
Book Description
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.
Author: Mervat Elzawy Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 4
Book Description
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.
Author: E. M. Solouma
Author: E. M. Solouma
Author: Yasin Unluturk
Author: E.M. Solouma
Author: E. M. Solouma
Author: MUHAMMED CETIN
Author: Suha Yılmaz
Author: Mervat Elzawy