A Note On Lamarle Formula Inminkowski 3-Space

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dc.contributor.authorOzturk, Ufuk
dc.contributor.authorIlarslan, Kazim
dc.contributor.authorOzturk, Esra Betul Koc
dc.contributor.authorNesovic, Emilija
dc.date.accessioned2020-06-25T18:29:20Z
dc.date.available2020-06-25T18:29:20Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionNesovic, Emilija/0000-0003-3600-0486; Ozturk, Ufuk/0000-0002-8800-7869
dc.description.abstractThe Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled surface with pseudo null base curve and null director vector field inMinkowski 3-space. We also obtain the corresponding striction line and distribution parameter of such surface. We prove that there is no Lamarle formula when the director vector field is spacelike and its derivative is null, because the ruled surface in that case is a lightlike plane. Finally, we give some examples.en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [174012]en_US
dc.description.sponsorshipThe last author was partially supported by the Serbian Ministry of Education, Science and Technological Development (grant number 174012).en_US
dc.identifier.citationNesovic, Emilija & Ilarslan, Kazim & Ozturk, Ufuk & Öztürk, Esra Betül. (2018). A note on Lamarle formula in Minkowski 3-space. Tamkang Journal of Mathematics. 49. 291-300.en_US
dc.identifier.doi10.5556/j.tkjm.49.2018.2653
dc.identifier.endpage300en_US
dc.identifier.issn0049-2930
dc.identifier.issn2073-9826
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85056133420
dc.identifier.scopusqualityQ2
dc.identifier.startpage291en_US
dc.identifier.urihttps://doi.org/10.5556/j.tkjm.49.2018.2653
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7244
dc.identifier.volume49en_US
dc.identifier.wosWOS:000449022500003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTamkang Univen_US
dc.relation.ispartofTamkang Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPseudo-null curveen_US
dc.subjectruled surfaceen_US
dc.subjectMinkowski 3-spaceen_US
dc.titleA Note On Lamarle Formula Inminkowski 3-Spaceen_US
dc.typeArticle

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