Affiliation:
1. Mathematics Department, Faculty of Science, Islamic University of Madinah, Saudi Arabia
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.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Reference15 articles.
1. B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, vol. 103 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1983.
2. J. Walrave, Curves and surfaces in Minkowski space, Ph.D. thesis, ProQuest LLC, Ann Arbor, Mich, USA, Katholieke Universiteit, Leuven, Belgium, 1995.
3. G.J. Wang, K. Tang and C.L. Tai. Parametric representation of a surface pencil with a common spatial geodesic, Computer-Aided Design 36 (2004), 447-459.
4. E. Kasap, F.T. Akyildiz and K. Orbay, A generalization of surfaces family with common spatial geodesic. Appl. Math. Comput. 201 (2008), 781-789.
5. C. Y. Li, R. H. Wang and C. G. Zhu, Parametric representation of a surface pencil with a common line of curvature. Computer-Aided Design 43 (2011), 1110-1117.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献