Camci, CetinIlarslan, KazimKula, LeventHacisalihoglu, H. Hilmi2025-01-272025-01-2720090960-0779https://doi.org/10.1016/j.chaos.2007.11.001https://hdl.handle.net/20.500.12428/23055In n-dimensional Euclidean space E-n, harmonic curvatures of a non-degenerate curve defined by Ozdamar and Haci-salihoglu [Ozdamar E, Hacisalihoglu HH. A characterization of Inclined curves in Euclidean n-space. Comm Fac Sci Univ Ankara, Ser A 1 1975;24:15-23]. In this paper, we give some characterizations for a non-degenerate curve alpha to be a generalized helix by using its harmonic curvatures. Also we define the generalized Darboux vector D of a non-degenerate curve alpha in n-dimensional Euclidean space E-n and we show that the generalized Darboux vector D lies in the kernel of Frenet matrix M(s) if and only if the curve a is a generalized helix in the sense of Hayden. (C) 2007 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessFibonacciSpaceArticle4052590259610.1016/j.chaos.2007.11.001Q1WOS:0002671824000552-s2.0-67349237127Q1