Çiftçi, Ünver2022-05-112022-05-1120090393-0440https://doi.org/10.1016/j.geomphys.2009.07.016https://hdl.handle.net/20.500.11776/7338General helices in a three dimensional Lie group with a bi-invariant metric are defined and a generalization of Lancret's theorem is obtained. We conclude that the so-called spherical images of general helices are plane curves, and we obtain the so-called spherical general helices. We also give a relation between the geodesics of the so-called cylinders and general helices. (C) 2009 Elsevier B.V. All rights reserved.en10.1016/j.geomphys.2009.07.016info:eu-repo/semantics/openAccessGeneral helixLancret's theoremCurves in Lie groupsLie-GroupsN-SpaceHelicesHypersurfacesCurvatureSurfacesCurvesArticle591215971603Q3WOS:000272113500003