A Dynamical Approach to Position Vector of Timelike Curve by Vectorial Momentum, Torque and Tangential Dual Curve

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dc.contributor.authorYavuz, Ayse
dc.date.accessioned2024-02-23T14:00:15Z
dc.date.available2024-02-23T14:00:15Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractIn this study, the position vector of a timelike curve p is stated by a linear combination of its Serret Frenet frame with differentiable functions. The definition of tangential dual curve of the curve p is stated by using these differentiable functions. Moreover, tangential torque curve of timelike curve p is defined and investigated. New dynamically and physical results are stated depending on the torque of the timelike curve p and the direction of the tangent vector component of the curve. Then, the position vector of a timelike W curve is again stated by differentiable functions. Therefore, solutions of differential equation of the position vector of timelike W curve with two different types depending on the values of curvature and torsion of timelike curve are obtained. By using the differentiable functions obtained as a result of these solutions, tangential dual and torque curve of the timelike W curve are obtained. Depending on the tangential dual and torque curve of the timelike W curve, results are given for two different cases separately.en_US
dc.identifier.doi10.1007/s44198-022-00061-w
dc.identifier.endpage842en_US
dc.identifier.issn1402-9251
dc.identifier.issn1776-0852
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85131808342en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage818en_US
dc.identifier.urihttps://doi.org/10.1007/s44198-022-00061-w
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11527
dc.identifier.volume29en_US
dc.identifier.wosWOS:000810853200001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofJournal Of Nonlinear Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPosition Vectoren_US
dc.subjectTangential Torqueen_US
dc.subjectTangential Dual Curveen_US
dc.subjectTimelike W Curveen_US
dc.titleA Dynamical Approach to Position Vector of Timelike Curve by Vectorial Momentum, Torque and Tangential Dual Curveen_US
dc.typeArticleen_US

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