Browsing by Author "İlarslan, Kazım"

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A New Approach to Mannheim Curve in Euclidean 3-Space

Uçum, Ali; Camcı, Çetin; İlarslan, Kazım (Tamkang University, 2021)

In this article, a new approach is given for Mannheim curves in 3-dimensional Euclidean space. Thanks to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve to ...
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 ...
Surfaces of Osculating Circles in Euclidean Space

Lopez, Rafael; Camcı, Çetin; Uçum, Ali; İlarslan, Kazım (Springer, 2024)

The aim of this paper is to define a new class of surfaces in Euclidean space using the concept of osculating circle. Given a regular curve C, the surface of osculating circles generated by C is the set of all osculating ...