New results concerning Cartan null and pseudo null curves in Minkowski 3-space

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dc.authorid0000-0002-0122-559Xen_US
dc.authorscopusid7005108545en_US
dc.authorwosid-en_US
dc.contributor.authorCamcı, Çetin
dc.contributor.authorUcum, Ali
dc.contributor.authorİlarslan, Kazım
dc.date.accessioned2023-08-21T08:19:46Z
dc.date.available2023-08-21T08:19:46Z
dc.date.issued2023en_US
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E13 . Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for Cartan null curves and it is shown that every Cartan null curve can be obtained from a timelike curve lying in the Lorentz plane in E13 . Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in E13 . Finally we define a new surface in E13 called “surface of pseudo null curves” and we obtain the geometric properties of such surfaces.en_US
dc.identifier.citationCamcı, Ç., Uçum, A., & İlarslan, K. (2023). New results concerning Cartan null and pseudo null curves in Minkowski 3-space. Journal of Geometry, 114(2), 1–23. https://doi.org/10.1007/s00022-023-00676-4en_US
dc.identifier.doi10.1007/s00022-023-00676-4
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85160268941
dc.identifier.urihttps://doi.org/10.1007/s00022-023-00676-4
dc.identifier.urihttps://hdl.handle.net/20.500.12428/4505
dc.identifier.volume114en_US
dc.identifier.wosWOS:000995998500001 ISSN0047-2468
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCamcı, Çetin
dc.language.isoen
dc.publisherBirkhauseren_US
dc.relation.ispartofJournal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFlat surfaceen_US
dc.subjectMinimal surfaceen_US
dc.subjectMinkowski 3-spaceen_US
dc.subjectNull curvesen_US
dc.subjectParallel Frenet framesen_US
dc.subjectPseudo null curvesen_US
dc.titleNew results concerning Cartan null and pseudo null curves in Minkowski 3-space
dc.typeArticle

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