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) |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1110-256X 2090-9128 |
DOI: | 10.1186/s42787-019-0009-x |