Special Smrandache Curves Recording by Curves on a Spacelike Surface in Minkowski Space-Time

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.

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“…Theorem 6. Let Ω = Ωðσ, υÞ be the μ 1 μ 2 type-2 Smarandache ruled surface in E 3 defined by (13). Then, we have…”

Section: Resultsmentioning

confidence: 99%

“…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

Solouma

2021

Advances in Mathematical Physics

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“…A geometry of Smarandache is a geometry that has at least one denied axiom Smarandachely (1969). Several researchers [5][6][7][8]11,14,[17][18][19][20]22] have recently studied Smarandache curves in Minkowski and the Euclidean spaces.…”

Section: Introductionmentioning

confidence: 99%

Geometric Properties in Minkowski Space-Time of Spacelike Smarandache Curves

Al-Dayel

Solouma

2021

Int. J. Appl. Comput. Math

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“…Yuce., 2013) (M. Cetin, Y. Tuncer, & M. K. Karacan., 2014)(E. M. Solouma, 2017a) (E. M. Solouma, 2017b) (K. Taskopru, & M. Tosun, 2014).…”

Section: Introductionmentioning

confidence: 99%

Geometric Properties of Special Spacelike Curves in Three-Dimension Minkowski Space-Time

Solouma¹,

Wageeda²,

Soliman³

et al. 2020

MAS

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In this paper, we introduce a special spacelike Smarandache curves  reference to the Bishop frame of a regular spacelike curve  in Minkowski 3-space . From that point, we investigate the Frenet invariants of a special case in  and we obtain some properties of these curves when the base curve  is contained in a plane. Lastly, we shall give two examples to illustrate these curves.

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Special Smrandache Curves Recording by Curves on a Spacelike Surface in Minkowski Space-Time

Cited by 5 publications

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

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

Geometric Properties in Minkowski Space-Time of Spacelike Smarandache Curves

Geometric Properties of Special Spacelike Curves in Three-Dimension Minkowski Space-Time

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Special Smrandache Curves Recording by Curves on a Spacelike Surface in Minkowski Space-Time

Cited by 5 publications

References 0 publications

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

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

Geometric Properties in Minkowski Space-Time of Spacelike Smarandache Curves

Geometric Properties of Special Spacelike Curves in Three-Dimension Minkowski Space-Time

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

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