Please use this identifier to cite or link to this item:
https://scidar.kg.ac.rs/handle/123456789/19965
Title: | On Bishop frame of a partially null curve in Minkowski space-time E^4_1 |
Authors: | Djordjevic, Jelena ![]() ![]() Nešović, Emilija ![]() ![]() |
Issue Date: | 2024 |
Abstract: | In this paper, we introduce Bishop frame of a partially null curve α in Minkowski space-time E41. We prove that such curve has three Bishop frames determined by the particular solutions of the third order non-linear differential equation. We show that the Frenet frame of α can be obtained by rotating the Bishop frame that corresponds to the particular solution θ(s) =R κ1(s) ds of the mentioned differential equation. As an application, we obtain the parametrization of a lightlike hypersurface and focal surface with base curve α in terms of its Bishop frame. Finally, we prove that a lightlike focal surface along a partially null helix has no critical value set. |
URI: | https://scidar.kg.ac.rs/handle/123456789/19965 |
Type: | article |
DOI: | 10.2298/FIL2404439D |
ISSN: | 2406-0933 |
SCOPUS: | 2-s2.0-85179318657 |
Appears in Collections: | Faculty of Science, Kragujevac |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
On Bishop frame of partially null curve.pdf | 218.63 kB | Adobe PDF | ![]() View/Open |
Items in SCIDAR are protected by copyright, with all rights reserved, unless otherwise indicated.