Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/17679
Title: On Generalized Darboux Frame of a Pseudo Null Curve Lying on a Lightlike Surface in Minkowski 3-Space
Authors: Djordjevic, Jelena
Nešović, Emilija
Issue Date: 2023
Abstract: In this paper we define the generalized Darboux frame of a pseudo null curve α lying on a lightlike surface in Minkowski space E31 . We prove that α has two such frames and obtain generalized Darboux frame’s equations. We obtain the relations between the curvature functions of α 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 sufficient conditions for such vectors to have the same directions. Finally, we present related examples.
URI: https://scidar.kg.ac.rs/handle/123456789/17679
Type: article
DOI: 10.36890/IEJG.1269538
ISSN: e-ISSN: 1307-5624
SCOPUS: 2-s2.0-85159041691
Appears in Collections:Faculty of Science, Kragujevac

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