Stationary acceleration of Frenet curves

dc.contributor.authorYayli, Yusuf
dc.contributor.departmentFen Fakültesitr_TR
dc.date.accessioned2019-07-01T06:24:08Z
dc.date.available2019-07-01T06:24:08Z
dc.date.issued2017
dc.description.abstractIn this paper, the stationary acceleration of the spherical general helix in a 3-dimensional Lie group is studied by using a bi-invariant metric. The relationship between the Frenet elements of the stationary acceleration curve in 4-dimensional Euclidean space and the intrinsic Frenet elements of the Lie group is outlined. As a consequence, the corresponding curvature and torsion of these curves are computed. In Minkowski space, for the curves on a timelike surface to have a stationary acceleration, a necessary and sufficient condition is refined.tr_TR
dc.description.indexWos
dc.description.indexScopus
dc.identifier.endpage13tr_TR
dc.identifier.other10.1186/s13660-017-1354-7
dc.identifier.startpage01tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/66950
dc.language.isoentr_TR
dc.relation.journalJOURNAL OF INEQUALITIES AND APPLICATIONStr_TR
dc.subjectstationary accelerationtr_TR
dc.subjectspherical general helixtr_TR
dc.titleStationary acceleration of Frenet curvestr_TR
dc.typeArticletr_TR

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