Affiliation:
1. UNIVERSITY OF KYRENIA, FACULTY OF MARITIME
2. Faculty of Science University of Kragujevac
Abstract
In this paper we define generalized Darboux frame of a a pseudo null curve $\alpha$ lying on a
lightlike surface in Minkowski space $\mathbb{E}_{1}^{3}$. We prove that $\alpha$ has two such frames and obtain generalized Darboux frame's equations. We obtain
the relations between the curvature functions of $\alpha$ with respect to
the Darboux frame and generalized Darboux frames. We also find parameter equations of the Darboux vectors of the Frenet, Darboux and generalized Darboux frames and give the necessary and the sufficient conditions for such vectors to have the same directions. Finally, we present related examples.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Cited by
2 articles.
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