Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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.
Description
Keywords
De Sitter parameter, De Sitter parametresi, Null Cartan curve, Boş Cartan eğrisi, Shape Cartan curvatures, Şekil Cartan eğrilikleri
Citation
Şimşek, H. (2022). Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(1), 79-94.