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

H. A. Erdem, K. İlarslan

In this paper, we give new results for Cartan null and pseudo null Bertrand curves in Minkowski 3-space by using a new approach which generalize the notion of Bertrand curves in Euclidean 3-space. According to the this approach, the necessary and sufficient conditions have been obtained for Cartan null and pseudo null curves to be Bertrand curves in Minkowski 3-space. In addition, some examples are given.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 3 (2023), pp. 29-43