Ucum, AliSakaki, Makoto2025-01-212025-01-2120211224-17841844-0835https://doi.org/10.2478/auom-2021-0044https://hdl.handle.net/20.500.12587/24863In this paper, we study generalized helicoidal surfaces in Euclidean 5 space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.eninfo:eu-repo/semantics/openAccessHelicoidal surface; minimal surface; flat surface; normal curvature tensor; complete surfaceArticle29326928310.2478/auom-2021-00442-s2.0-85120988684Q3WOS:000729560000014Q3