Abstract: In this paper, we define a relativeMinkowski normal plane ζ and relative tangent vector TM:We construct a new relative S-frame (Shnoda-Saad frame) of regular spacelike curves on timelike surfaces. It depends only on the curve lies on the surface, Euclidean and Minkowski unit normal vectors. Also, we define S-curve according to this frame with some related theorems.
Emad N. Shonoda, M. Khalifa Saad, "Constructing a New Frame of Spacelike Curves on Timelike Surfaces in Minkowski 3-Space," WSEAS Transactions on Mathematics, vol. 19, pp. 247-252, 2020, DOI:10.37394/23206.2020.19.24
Emad N. Shonoda, M. Khalifa Saad. Constructing a New Frame of Spacelike Curves on Timelike Surfaces in Minkowski 3-Space.
WSEAS Transactions on Mathematics. 2020;19:247-252. 10.37394/23206.2020.19.24