Browsing by Author "Ucum, Ali"

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New results concerning Cartan null and pseudo null curves in Minkowski 3-space

Camcı, Çetin; Ucum, Ali; İlarslan, Kazım (Birkhauser, 2023)

In this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E13 . Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for ...
Sequential natural mates of Frenet curves in Euclidean 3-space

Camcı, Çetin; Chen, Bang-Yen; Ilarslan, Kazım; Ucum, Ali (Springer, 2021)

Associated with a Frenet curve α in Euclidean 3-space E3, there exists the notion of natural mate β of α. In this article, we extend the natural mate β to sequential natural mates {α1,α2,…,αnα} with α1= β. We call each ...
Space curves related by a transformation of combescure

Camcı, Çetin; Ucum, Ali; Ilarslan, Kazım (Taylor and Francis Ltd., 2021)

In this paper, the curves associated with the Combescure transform are discussed. With the help of the fact that these curves have a common Frenet frame, an equivalence relation is defined. The equivalence classes obtained ...