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TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24

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Özet

In this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4). And then we obtain an approximate solution for the timelike B-1 slant helix with Taylor matrix collocation method.

Anahtar Kelimeler

Semi-Euclidean spacetimelike curvestimelike slant helixtimelike helixTaylor matrix collocation method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/14452Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.5831/hmj.2022.44.3.310Yayıncı resmi DOI adresi
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Web of ScienceWeb of Science
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAydin, Tuba Agirman
dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorKocayigit, Huseyin
dc.date.accessioned2026-10-29T19:15:52.886499335Z
dc.date.available2026-10-29T19:15:52.886499335Z
dc.date.issued2022-09
dc.description.abstractIn this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4). And then we obtain an approximate solution for the timelike B-1 slant helix with Taylor matrix collocation method.
dc.identifier.doi10.5831/hmj.2022.44.3.310
dc.identifier.eissn2288-6176
dc.identifier.endpage324
dc.identifier.issn1225-293X
dc.identifier.issue3
dc.identifier.startpage310
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14452
dc.identifier.volume44
dc.identifier.wosWOS:000890292100001
dc.language.isoen
dc.publisherHONAM MATHEMATICAL SOC
dc.relation.ispartofHONAM MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSemi-Euclidean space
dc.subjecttimelike curves
dc.subjecttimelike slant helix
dc.subjecttimelike helix
dc.subjectTaylor matrix collocation method
dc.subject.classificationMathematics
dc.subject.otherSLANT HELICES
dc.subject.otherCURVES
dc.titleTIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24
dc.typeArticle
rdl.citation.openalex0
rdl.citation.wos1
rdl.oa.statusclosed
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)