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math.GM2026
Fractional-order differential geometry of Gielis curves: chart regularization, Caputo curvature, and the fate of singularities
Umut Selvi, Derya Sağlam
Gielis curves describe many natural shapes, and some of them have corners or cusps. We apply two recent ideas from the differential geometry of curves to Gielis curves: "regularizi…
math.GM2026
Null Cartan Normal Helices in Minkowski Space-Time
Derya Sağlam, Umut Selvi
A complete theory of null Cartan normal helices in Minkowski space-time is developed. Two algebraic conditions, obtained by successive differentiation of the helix…