On an Explicit Characterization of Spherical Curves in Dual Lorentzian 3-Space D13

Rashad A. Abdel-Baky, Fatemah Mofarreh and Francesco Tornabene

Mathematical Problems in Engineering, 2022, vol. 2022, 1-9

Abstract: In this study, we developed a mathematical framework for studying spherical and null curves in dual Lorentzian 3-space D13. Considering the causal character of the dual curve, sufficient and necessary conditions for spacelike curves to be dual Lorentzian spherical were given. Also, new sufficient and necessary conditions for non-null curves to be hyperbolic dual spherical were presented. Then, an insight on curves with null-principal normal is reported.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3044305

DOI: 10.1155/2022/3044305

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