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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 ...
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 ...