On non-null relatively normal-slant helices in minkowski 3-space

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dc.authorid0000-0002-3124-6308en_US
dc.authorid0000-0002-8800-7869en_US
dc.authorid0000-0002-9437-3443en_US
dc.contributor.authorNesovic, Emilija
dc.contributor.authorÖztürk, Ufuk
dc.contributor.authorÖztürk, Esra Betül Koç
dc.date.accessioned2024-03-08T08:11:20Z
dc.date.available2024-03-08T08:11:20Z
dc.date.issued2022en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionThe first author was partially supported by the Serbian Ministry of Education, Science and Technological Development (Agreement number 451- 03 - 68/2022 - 14/200122) .en_US
dc.description.abstractBy using the Darboux frame {;xi, zeta, eta} of a non-null curve lying on a timelike surface in Minkowski 3-space, where xi is the unit tangent vector of the curve, eta is the unit spacelike normal vector field restricted to the curve and zeta = +/-eta x xi, we define relatively normal-slant helices as the curves satisfying the condition that the scalar product of the fixed vector spanning their axis and the non-constant vector field zeta is constant. We give the necessary and sufficient conditions for non-null curves lying on a timelike surface to be relatively normal-slant helices. We consider the special cases when non-null relatively-normal slant helices are geodesic curves, asymptotic curves, or lines of the principal curvature. We show that an asymptotic spacelike hyperbolic helix lying on the principal normal surface over the helix and a geodesic spacelike general helix lying on the timelike cylindrical ruled surface, are some examples of non-null relatively normal-slant helices in E-1(3)en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [451- 03 - 68/2022 - 14/200122]en_US
dc.identifier.citationNešović, E., Öztürk, U., & Koç, Ö. E. B. (2022). On non-null relatively normal-slant helices in Minkowski 3-space. Filomat, 36(6), 2051-2062.en_US
dc.identifier.doi10.2298/FIL2206051N
dc.identifier.endpage2062en_US
dc.identifier.issn0354-5180
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85140411401en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage2051en_US
dc.identifier.urihttp://dx.doi.org/10.2298/FIL2206051N
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12069
dc.identifier.volume36en_US
dc.identifier.wosWOS:000936943600020en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖztürk, Esra Betül Koç
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSlant Helixen_US
dc.subjectGeneral Helixen_US
dc.subjectDarboux Frameen_US
dc.subjectTimelike Surfaceen_US
dc.subjectMinkowski Spaceen_US
dc.subjectCurvesen_US
dc.titleOn non-null relatively normal-slant helices in minkowski 3-spaceen_US
dc.typeArticleen_US

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