M. Khalifa Saad, Abu Zaid Ansari, M. Akram, F. Alharbi, "Spacelike Surfaces with a Common Line of Curvature in Lorentz-Minkowski 3-Space," WSEAS Transactions on Mathematics, vol. 20, pp. 207-217, 2021, DOI:10.37394/23206.2021.20.22
M. Khalifa Saad, Abu Zaid Ansari, M. Akram, F. Alharbi. Spacelike Surfaces with a Common Line of Curvature in Lorentz-Minkowski 3-Space.
WSEAS Transactions on Mathematics. 2021;20:207-217. 10.37394/23206.2021.20.22
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Spacelike Surfaces with a Common Line of Curvature in Lorentz-Minkowski 3-Space
Authors: , , ,
Abstract: This paper aims to study spacelike surfaces from a given spacelike curve in Minkowski 3–space.
Also, we investigate the necessary and sufficient conditions for the given space-like curve to be the line of
curvature on the space-like surface. Depending on the causal character of the curve, the necessary and
sufficient conditions for the given space-like curve to satisfy the line of curvature and the geodesic (resp.
asymptotic) requirements are also analyzed. Furthermore, we give with illustration some computational
examples in support of our main results
Keywords:
Serret-Frenet frame, Line of curvature, Spacelike surface pencil, Marching-scale functions
Pages: 207-217 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #22 DOI: 10.37394/23206.2021.20.22
×
Citation Tools