Isbilir, ZehraOzen, Kahraman EsenTosun, Murat2024-08-232024-08-2320240352-96652406-047Xhttps://doi.org/10.22190/FUMI221017016Ihttps://hdl.handle.net/20.500.12684/13905In this study, we consider the concept of Mannheim partner trajectories related to the Positional Adapted Frame on Regular Surfaces (PAFORS) for the particles moving on the different regular surfaces in Euclidean 3 -space. We give the relations between the PAFORS elements of these aforementioned trajectories. Also, we obtain the relations between Darboux basis vectors of these trajectories. Furthermore, some special cases of these trajectories are written.en10.22190/FUMI221017016Iinfo:eu-repo/semantics/closedAccessMannheim partner trajectoriesPositional Adapted Frame on Regular SurfacesDarboux basis vectorsCurvesFrameArticle392233245WOS:001229040900006N/A