Type-2 Spacelike Bishop Frame and an Application to Spherical Image in Minkowski Space–Time

Int. J. Appl. Comput. Math

2021

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Section: Introductionmentioning

confidence: 99%

Geometric Properties in Minkowski Space-Time of Spacelike Smarandache Curves

Al-Dayel

Int. J. Appl. Comput. Math

2021

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“…The Smarandache curve in Euclidean and Minkowski spaces is the curve whose position vector is made by Frenet frame vectors on another regular curve [8][9][10][11]. Several researchers [12][13][14][15][16][17][18][19][20] have recently studied Smarandache curves in Minkowski and the Euclidean spaces.…”

Section: Introductionmentioning

confidence: 99%

Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in $E^{3}$

Al-Dayel

Advances in Mathematical Physics

2021

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In this paper, we define and investigate a special kind of ruled surfaces called type-2 Smarandache ruled surfaces related to the type-2 Bishop frame in E 3 . From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to be developable in a minimal amount of time. Furthermore, an example is given to clear the results.

“…A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom (1969). Recently, special Smarandache curves have been studied by some authors [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

On spacelike equiform-Bishop Smarandache curves on S 1 2 $S_{1}^{2}$

Mahmoud

2019

J Egypt Math Soc

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In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S 2 1 in Minkowski 3-space R 3 1. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R 3 1. Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we give a computational example to illustrate these curves.