An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space

dc.contributor.authorYildirim, Mehmet
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2020-06-25T17:49:03Z
dc.date.available2020-06-25T17:49:03Z
dc.date.issued2010
dc.departmentKırıkkale Üniversitesi
dc.description.abstractBertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585-588, 1987). The same problem was studied using an improved version of Ritt-Wu's decomposition algorithm by S. -C. Chao and X.-S. Gao (Automated reasoning in differential geometry and mechanics: Part 4: Bertrand curves, System Sciences and Mathematical Sciences 6(2), 186-192, 1993). In this paper, we investigate the same problem for null Bertrand type curves in Minkowski 3-space E-1(3) by using the well known algorithm given by Chao and Gao, and obtain new results for null Bertrand type curves in Minkowski 3-space E-1(3).en_US
dc.identifier.citationYıldırım, M., İlarslan, K. (2010). An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space. Hacettepe Journal of Mathematics and Statistics, 39(4), 555 - 565en_US
dc.identifier.endpage565en_US
dc.identifier.issn2651-477X
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-80054680228
dc.identifier.scopusqualityQ2
dc.identifier.startpage555en_US
dc.identifier.trdizinid111815
dc.identifier.urihttps://hdl.handle.net/20.500.12587/4623
dc.identifier.volume39en_US
dc.identifier.wosWOS:000287782600010
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal Of Mathematics And Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMechanical theorem provingen_US
dc.subjectRitt-Wu's methoden_US
dc.subjectBertrand curvesen_US
dc.subjectMannheim curvesen_US
dc.subjectMinkowski 3-spaceen_US
dc.subjectNull curvesen_US
dc.titleAn application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-spaceen_US
dc.typeArticle

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