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

237-248


DOI

Article

Special Curves According to Bishop Frame in Minkowski 3-Space

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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

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

E13[E_1^3

. We define helix and slant helix according to Bishop frame in

E13[E_1^3

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


Keywords

Bishop frame, Pseudo null curve, slant helices, 51B20


Citation

Isah, M. A. & Külahçı, M. A. (2020). Special curves according to bishop frame in minkowski 3-Space. Applied Mathematics and Nonlinear Sciences, 5(1), 237–248. https://doi.org/10.2478/amns.2020.1.00021

Published by: Engineering Journals

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