On spacelike equiform-Bishop Smarandache curves on S12

In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S 1 2 in Minkowski 3-space ℝ 1 3 . 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 1 3 . Furthe...

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2019-12, Vol.27 (1)
Hauptverfasser: Solouma, E. M., Mahmoud, W. M.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S 1 2 in Minkowski 3-space ℝ 1 3 . 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 1 3 . 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.
ISSN:1110-256X
2090-9128
DOI:10.1186/s42787-019-0009-x