Some New Properties of Surfaces Generated by Null Cartan Curves

In this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines the chosen as a linear combination frame fields non-constant differentiable functions. Firstly, whose have same direction B; N and T examined respectively. As case, Gaussian Mean curvatures one parameter family Bertrand curves given singular points type surface stated. Furthermore, an example is also stated to explain obtained results. Then, investigated where lie on planes spanned by (N, B), (T,B) (T, N) Finally, differential geometric properties these mainly in three different cases