Classification of Killing Magnetic Curves In H3

dc.contributor.authorKelekçi, Ö.
dc.contributor.authorDündar, F. S.
dc.contributor.authorAyar, Gülhan
dc.date.accessioned2026-01-10T13:00:39Z
dc.date.available2026-01-10T13:00:39Z
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we study classification of magnetic curves corresponding to Killing vector fields of H3. First, we solve the geodesic equation analytically. Then we calculate the trajectories generated by all the six Killing vector fields, which are considered as magnetic field vectors, by using perturbation method up to first order with respect to the strength of the magnetic field. We present a comparison of our solution with the numerical solution for one case. We also prove that 3-dimensional (?)-Kenmotsu manifolds cannot have any magnetic vector field in the direction of their Reeb vector fields.
dc.identifier.doi10.1142/S0219887824500063
dc.identifier.issue20
dc.identifier.urihttps://doi.org/10.1142/S0219887824500063
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22173
dc.identifier.volume14
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20260110
dc.subjectAlmost contact manifolds
dc.subjectKilling magnetic curves
dc.subjectHyperbolic spaces.
dc.titleClassification of Killing Magnetic Curves In H3
dc.typeArticle

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