Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
https://doi.org/10.1186/s42787-019-0009-x
Abstract
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 give a computational example to illustrate these curves
Solouma, E., & Mahmoud, W. (2019). On spacelike equiform-Bishop Smarandache curves on S2 1. Journal of the Egyptian Mathematical Society, 27(1), 1-17. doi: https://doi.org/10.1186/s42787-019-0009-x
MLA
E. M. Solouma; W. M. Mahmoud. "On spacelike equiform-Bishop Smarandache curves on S2 1", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-17. doi: https://doi.org/10.1186/s42787-019-0009-x
HARVARD
Solouma, E., Mahmoud, W. (2019). 'On spacelike equiform-Bishop Smarandache curves on S2 1', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-17. doi: https://doi.org/10.1186/s42787-019-0009-x
VANCOUVER
Solouma, E., Mahmoud, W. On spacelike equiform-Bishop Smarandache curves on S2 1. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-17. doi: https://doi.org/10.1186/s42787-019-0009-x