On null Cartan normal isophotic and normal silhouette curves on a timelike surface in Minkowski 3-space

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dc.authoridDjordjevic, Jelena/0000-0003-3052-6778
dc.authoridOzturk, Ufuk/0000-0002-8800-7869
dc.authoridNesovic, Emilija/0000-0002-3124-6308
dc.contributor.authorDjordjevic, Jelena
dc.contributor.authorNesovic, Emilija
dc.contributor.authorOzturk, Ufuk
dc.contributor.authorOzturk, Esra B. Koc
dc.date.accessioned2024-09-25T19:58:35Z
dc.date.available2024-09-25T19:58:35Z
dc.date.issued2024
dc.departmentAbant İzzet Baysal Üniversitesien_US
dc.description.abstractWe introduce generalized Darboux frames along a null Cartan curve lying on a timelike surface in Minkowski space E-1(3) and define null Cartan normal isophotic and normal silhouette curves in terms of the vector field that lies in the normal plane of the curve and belongs to its generalized Darboux frame of the first kind. We investigate null Cartan normal isophotic and normal silhouette curves with constant geodesic curvature kg and constant geodesic torsion tau(g). We obtain the parameter equations of their axes and prove that such curves are the null Cartan helices or the null Cartan cubics. In particular, we show that null Cartan normal isophotic curves with a non-zero constant curvatures k(g) and tau(g) have a remarkable property that they are general helices, relatively normal-slant helices and isophotic curves with respect to the same axis. We prove that null Cartan cubics lying on a timelike surface are normal isophotic curves with a spacelike axis and normal silhouette curves with a lightlike axis. We obtain the relation between Minkowski Pythagorean hodograph cubic curves and null Cartan normal isophotic and normal silhouette curves. Finally, we give numerical examples of null Cartan normal isophotic and normal silhouette curves obtained by integrating the system of two the first order differential equations under the initial conditions.en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [451-03-65/2024-03/ 200122]en_US
dc.description.sponsorshipThe first and the second author were partially supported by the Serbian Ministry of Education, Science and Technological Development (Agreement No. 451-03-65/2024-03/ 200122).en_US
dc.identifier.doi10.1002/mma.10137
dc.identifier.endpage10539en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85191336869en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage10520en_US
dc.identifier.urihttps://doi.org/10.1002/mma.10137
dc.identifier.urihttps://hdl.handle.net/20.500.12491/13639
dc.identifier.volume47en_US
dc.identifier.wosWOS:001206112600001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzYK_20240925en_US
dc.subjectgeneralized Darboux frameen_US
dc.subjectinitial value problemen_US
dc.subjectMinkowski spaceen_US
dc.subjectnormal isophotic curveen_US
dc.subjectnormal silhouette curveen_US
dc.subjectnull Cartan curveen_US
dc.subjectRunge-Kutta methoden_US
dc.titleOn null Cartan normal isophotic and normal silhouette curves on a timelike surface in Minkowski 3-spaceen_US
dc.typeArticleen_US

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