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

Abstract

In this paper, differential invariants of null Cartan curves are studied in (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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