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On Bishop frame of a null Cartan curve in Minkowski space-time
International Journal of Geometric Methods in Modern Physics, 2018 In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time [Formula: see text]. We obtain the Bishop’s frame equations of a null Cartan curve which lies in the timelike hyperplane of [Formula: see text]. We show that a null Cartan cubic lying in the timelike hyperplane of [Formula: see text] has two Bishop frames, one of ...
Kazim Ilarslan, Emilija Nešović
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Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space
Physics Letters, Section A: General, Atomic and Solid State Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donghe Pei, Jianguo Sun
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Bi-null Cartan curves in semi-Euclidean spaces of index 2
Beitrage Zur Algebra Und Geometrie, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makoto Sakaki
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A novel approach to the motion equations of null Cartan curves via the compatible Hasimoto map
Optik, 2023 We would like to thank the referees and editor for reviewing the paper carefully and their valuable comments to improve the quality of the paper.
Körpınar, Talat +2 more
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Involutes of null Cartan curves and their representations in Minkowski 3-space
Soft Computing, 2023Jinhua Qian
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New results on Cartan null and pseudo null Bertrand curves in Minkowski 3-space
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023Hatice Altin Erdem, Kazim İarslan
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Kinematics of Persistent Rigid Motions Traced by Adapted Frames Along Null Cartan Curves
Mathematical Methods in the Applied SciencesABSTRACT One‐parameter rigid motions along null Cartan curves in the three‐dimensional Lorentz–Minkowski space are considered. More specifically, we aim to investigate four different variants of frame motions associated with a null Cartan curve: the Cartan motion ,
Orhan Oğulcan Tuncer
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Hyperbolic worldsheets and worldlines of null Cartan curves in de Sitter 3-space
International Journal of Modern Physics A, 2021The hyperbolic worldsheets and the hyperbolic worldline generated by null Cartan curves are defined and their geometric properties are investigated. As applications of singularity theory, the singularities of the hyperbolic worldsheets and the hyperbolic worldline are classified by using the approach of the unfolding theory in singularity theory.
Qingxin Zhou, Jingbo Xu, Zhigang Wang
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Construction of generalized null cartan curves using spacelike curves on null plane
Modern Physics Letters AIn this paper, we provide an effective tool for studying spacelike curves on null planes in mathematical and physical research. As an application, we propose a unified method for constructing generalized null Cartan curves.
Boyuan Xu, Xiaoyan Jiang, Donghe Pei
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