Singh, CharanKazan, AhmetAltin, MustafaKazan, SemaJamali, Mohammed2026-04-042026-04-0420250352-96652406-047Xhttps://doi.org/10.22190/FUMI240411029Shttps://hdl.handle.net/11616/108797In this paper, we study k-type (k is an element of {0, 1, 2, ...., n-1}) slant helices due to non-zero parallel transport frame in E-n. We give some characterizations for 0-type, 1-type,..., and in general (n-1)-type slant helix due to parallel transport frame in terms of parallel transport curvatures in E-n and with the aid of these characterizations we give an important general theorem which gives the necessary and sufficient condition for any space curve to be k-type slant helices due to parallel transport frame in E-n. We also obtain the characterizations of the curves whose position vectors belong to the normal, rectifying and osculating spaces (called normal, rectifying and osculating curves, respectively) due to parallel transport frame in E-n.eninfo:eu-repo/semantics/openAccessparallel transport framek -type slant helixnormal curverectifying curveArticle40238739710.22190/FUMI240411029SWOS:001536337200010Q4