On spacelike equiform-Bishop Smarandache curves on S2 1

Authors

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

Keywords