On generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space E31 Dedicated to the memory of Professor Emeritus Krishan Lal Duggal

Basit Öğe Kaydı
dc.authorid0000-0002-8800-7869en_US
dc.contributor.authorDjordjevic, Jelena
dc.contributor.authorNesovic, Emilija
dc.contributor.authorÖztürk, Ufuk
dc.date.accessioned2023-08-14T09:16:54Z
dc.date.available2023-08-14T09:16:54Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionSerbian Ministry of Education, Science and Technological Development(Ministry of Education, Science & Technological Development, Serbia)en_US
dc.description.abstractIn this paper we introduce generalized Darboux frame of a spacelike curve alpha lying on a lightlike surface in Minkowski space E31 . We prove that alpha has two such frames and obtain generalized Darboux frame's equations. We find the relations between the curvature functions kg, kn , tau g of alpha with respect to its Darboux frame and the curvature functions k similar to g, k similar to n , tau similar to g with respect to generalized Darboux frames. We show that such frames exist along a spacelike straight line lying on a ruled surface which is not entirely lightlike, but contains some lightlike points. We define lightlike ruled surfaces on which the tangent and the binormal indicatrix of a null Cartan curve are the principal curvature lines having tau similar to g = 0 and give some examples.en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [451-03-47/2023-01/200122]en_US
dc.identifier.citationDJORDJEVIC, J., NESOVIC, E., & ÖZTÜRK, U. (2023). On generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space $\mathbb {E}^{3} _ {1} $. Turkish Journal of Mathematics, 47(2), 883-897.en_US
dc.identifier.doi10.55730/1300-0098.3399
dc.identifier.endpage897en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85151915561en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage883en_US
dc.identifier.trdizinid1160529en_US
dc.identifier.urihttp://dx.doi.org/10.55730/1300-0098.3399
dc.identifier.urihttps://hdl.handle.net/20.500.12491/11509
dc.identifier.volume47en_US
dc.identifier.wosWOS:000986888900031en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.institutionauthorÖztürk, Ufuk
dc.language.isoenen_US
dc.publisherScientific and Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Darboux Frameen_US
dc.subjectSpacelike Curveen_US
dc.subjectDarboux Frameen_US
dc.subjectLightlike Surfaceen_US
dc.subjectMinkowski Spaceen_US
dc.subjectHypersurfaceen_US
dc.titleOn generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space E31 Dedicated to the memory of Professor Emeritus Krishan Lal Duggalen_US
dc.typeArticleen_US

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