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

Authors : Hakan ŞİMŞEK

Pages : 79-94

Doi:10.31801/cfsuasmas.865100

View : 9 | Download : 8

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