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

dc.contributor.authorCamci, Cetin
dc.contributor.authorUcum, Ali
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2025-01-21T16:42:52Z
dc.date.available2025-01-21T16:42:52Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E-1(3). 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 E-1(3). Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in E-1(3). Finally we define a new surface in E-1(3) called surface of pseudo null curves and we obtain the geometric properties of such surfaces.
dc.identifier.doi10.1007/s00022-023-00676-4
dc.identifier.issn0047-2468
dc.identifier.issn1420-8997
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85160268941
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s00022-023-00676-4
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25157
dc.identifier.volume114
dc.identifier.wosWOS:000995998500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofJournal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectMinkowski 3-space; Parallel Frenet frames; Null curves; Pseudo null curves; Flat surface; Minimal surface
dc.titleNew results concerning Cartan null and pseudo null curves in Minkowski 3-space
dc.typeArticle

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