On spacelike equiform-Bishop Smarandache curves on S2 1
Solouma, E., Mahmoud, W. (2019). On spacelike equiform-Bishop Smarandache curves on S2 1. EKB Journal Management System, 27(1), 1-17. doi: 10.1186/s42787-019-0009-x
E. M. Solouma; W. M. Mahmoud. "On spacelike equiform-Bishop Smarandache curves on S2 1". EKB Journal Management System, 27, 1, 2019, 1-17. doi: 10.1186/s42787-019-0009-x
Solouma, E., Mahmoud, W. (2019). 'On spacelike equiform-Bishop Smarandache curves on S2 1', EKB Journal Management System, 27(1), pp. 1-17. doi: 10.1186/s42787-019-0009-x
Solouma, E., Mahmoud, W. On spacelike equiform-Bishop Smarandache curves on S2 1. EKB Journal Management System, 2019; 27(1): 1-17. doi: 10.1186/s42787-019-0009-x

On spacelike equiform-Bishop Smarandache curves on S2 1

Journal of the Egyptian Mathematical Society
Article 7, Volume 27, Issue 1, 2019, Pages 1-17    PDF (1.35 M)
DOI: 10.1186/s42787-019-0009-x
Authors
E. M. Solouma; W. M. Mahmoud
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
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
Keywords
Smarandache curve; Equiform Frenet frame; Bishop frame; Minkowski3-space
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