K-Type bi-null slant helices in $$\mathbb {R}_{2}^{5}$$ R 2 5

Abstract

In the present paper, we give the notion of k-type bi-null slant helices in \(\mathbb {R}_{2}^{5}\), where \(k\in \left\{ 0,1,2,3,4\right\} \). We give the necessary and sufficient conditions for bi-null curves to be k-type slant helices in terms of their curvature functions.