Associated curves of a Frenet curve in the dual Lorentzian space

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dc.contributor.authorYücesan, Ahmet
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-26T12:11:44Z
dc.date.available2022-12-26T12:11:44Z
dc.date.issued2022
dc.description.abstractIn this work, we firstly introduce notions of principal directed curves and principal donor curves which are associated curves of a Frenet curve in the dual Lorentzian space D 3 1 . We give some relations between the curvature and the torsion of a dual principal directed curve and the curvature and the torsion of a dual principal donor curve. We show that the dual principal directed curve of a dual general helix is a plane curve and obtain the equation of dual general helix by using position vector of plane curve. Then we show that the principal donor curve of a circle in D 2 or a hyperbola in D 2 1 and the principal directed curve of a slant helix in D 3 1 are a helix and general helix, respectively. We explain with an example for the second case. Finally, according to causal character of the principal donor curve of principal directed rectifying curve in D 3 1 , we show this curve to correspond to any timelike or spacelike ruled surface in Minkowski 3−space R 3 1 .tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage304tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue1tr_TR
dc.identifier.startpage285tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.877170tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86482
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.877170tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectDual Lorentzian space, associated curves, dual general helix, dual slant helix, principal directed rectifying curve, ruled surfacetr_TR
dc.titleAssociated curves of a Frenet curve in the dual Lorentzian spacetr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:01 (2022)