Camci, CetinUcum, AliIlarslan, Kazim2025-01-212025-01-2120230047-24681420-8997https://doi.org/10.1007/s00022-023-00676-4https://hdl.handle.net/20.500.12587/25157In this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E-1(3). Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for Cartan null curves and it is shown that every Cartan null curve can be obtained from a timelike curve lying in the Lorentz plane in E-1(3). Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in E-1(3). Finally we define a new surface in E-1(3) called surface of pseudo null curves and we obtain the geometric properties of such surfaces.eninfo:eu-repo/semantics/closedAccessMinkowski 3-space; Parallel Frenet frames; Null curves; Pseudo null curves; Flat surface; Minimal surfaceArticle114210.1007/s00022-023-00676-42-s2.0-85160268941Q3WOS:000995998500001Q2