Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:1
Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces

Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces

Pages : 79-94

View : 13 | Download : 10

Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :In this paper, differential invariants of null Cartan curves are studied in insert ignore into journalissuearticles values(n+2); dimensional Lorentzian similarity geometry. The fundamental theorem for a null Cartan curve in similarity geometry is investigated and the characterization of all self-similar null Cartan curves parameterized by de Sitter parameter in Minkowski space-time is given.
Keywords : de Sitter parameter, null Cartan curve, shape Cartan curvatures

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