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Electromagnetic waves along pseudo null curves in Minkowski space [PDF]
Heliyon, 2022 Considering the importance of Minkowski space in physics, it is an incomplete approach to deal with EM waves only in Euclidean space. For this reason, this paper deals with EM waves along pseudo null curves in Minkowski space.
Melek Erdoğdu
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Involutes of Pseudo-Null Curves in Lorentz–Minkowski 3-Space
Mathematics, 2021 In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null curves are spacelike curves with null principal normals, and their involutes can be defined analogously as for the Euclidean curves, but they exhibit ...
Rafael López +3 more
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Mathematics, 2021 According to the Frenet equations of the null curves in semi-Euclidean 4-space, the existence conditions and the geometrical characterizations of the Bertrand curves of the null curves are given in this paper.
Jianguo Sun, Yanping Zhao
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Structure Functions of Pseudo Null Curves in Minkowski 3-Space
Mathematics, 2020 In this work, the embankment surfaces with pseudo null base curves are investigated in Minkowski 3-space. The representation formula of pseudo null curves is obtained via the defined structure functions and the k-type pseudo null helices are discussed ...
Jinhua Qian +3 more
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Some characterizations of null osculating curves in the Minkowski space-time; pp. 1–8 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 In this paper we give the necessary and sufficient conditions for null curves in E41 to be osculating curves in terms of their curvature functions. In particular, we obtain some relations between null normal curves and null osculating curves as well as ...
Kazım İlarslan, Emilija Nešović
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On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided.
Arfah Arfah
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Inextensible Flows of Null Cartan Curves in Minkowski Space
Universe, 2023 This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion.
Samah Gaber, Abeer Al Elaiw
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Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space
Mathematics, 2023 This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Journal of Inequalities and Applications, 2020 In this paper, we investigate the representation of curves on the lightlike cone Q 2 3 $\mathbb {Q}^{3}_{2}$ in Minkowski space R 2 4 $\mathbb {R}^{4}_{2}$ by structure functions.
Nemat Abazari +4 more
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