Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 1


Published
on

March 31, 2020


Pages

413-424


DOI

Article

A study on null cartan curve in Minkowski 3-space

Check for updates


Authors

Muhammad Abubakar Isah Affiliation:
Department of Mathematics, Firat University, Elazig, Turkey
and Mihriban Alyamaç Külahçı Affiliation:
Department of Mathematics, Firat University, Elazig, Turkey


Abstract

Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW (k) – type and AW (k) – type null cartan curve in Minkowski 3-space

E13
E_1^3

. We define helix according to Bishop frame in

E13
E_1^3

. Furthermore, the necessary and sufficient conditions for the helices in Minkowski 3-space are obtained.


Keywords

Null cartan curve, AW(k)-type curve, helix, 53C08


Citation

Isah, M. A. & Külahçı, M. A. (2020). A study on null cartan curve in minkowski 3-space. Applied Mathematics and Nonlinear Sciences, 5(1), 413–424. https://doi.org/10.2478/amns.2020.1.00039

Published by: Engineering Journals

Engineering Journals Logo