“…Also, they prove that there are no generalized null Mannheim curves whose generalized Mannheim mate curve is a pseudo null curve. In addition, generalized spacelike Mannheim curves and generalized timelike Mannheim curves are studied in Akyigit et al, Ersoy et al, and Uçum et al [15][16][17] Pseudo null and partially null Mannheim curves are examined in Nešović and Grbović. 18 The generalized spacelike Mannheim curves in Minkowski space-time, the Frenet frame of which contains only non-null vectors, are characterized inİlarslan et al 19 In the present paper, we define the generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E 4 2 , by taking consideration of the principal normal vector N of the generalized lightlike Mannheim curve fully lies in the lightlike plane spanned by the vectors B * 1 and B * 2 of the Mannheim mate curve.…”