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Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces
(Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2022)
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 ...
On focal curves of null Cartan curves
(Turkish Journal of Mathematics, 2017)
The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2. Moreover, a curve called acceleration focal curve of a null ...