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Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space

MakaleAçık ErişimScopus SJRQ2

Özet

In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3-space are obtained by various equations. In addition, new equivalents of well-known formulas (O. Bonnet, Euler, Liouville) are found in this space. Finally, the examples of these surfaces are given.

Anahtar Kelimeler

InvariantsLorentz-Minkowski 3-spaceTimelike surface
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/11446Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.2298/fil2317735gYayıncı resmi DOI adresi
Atıflar
Scopus
16
WoS
16
OpenAlex
16
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMazlum, Sümeyye Gür
dc.date.accessioned2026-10-22T10:19:02.047947182Z
dc.date.available2026-10-22T10:19:02.047947182Z
dc.date.issued2023
dc.description.abstractIn this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3-space are obtained by various equations. In addition, new equivalents of well-known formulas (O. Bonnet, Euler, Liouville) are found in this space. Finally, the examples of these surfaces are given.
dc.identifier.doi10.2298/fil2317735g
dc.identifier.endpage5749
dc.identifier.issn0354-5180
dc.identifier.issue17
dc.identifier.scopus2-s2.0-85150879434
dc.identifier.startpage5735
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/11446
dc.identifier.volume37
dc.identifier.wosWOS:000950896100001
dc.language.isoen
dc.publisherUniversity of Nis
dc.relation.ispartofFilomat
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectInvariants
dc.subjectLorentz-Minkowski 3-space
dc.subjectTimelike surface
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherDEVELOPABLE SURFACES
dc.subject.otherCURVES
dc.titleGeometric properties of timelike surfaces in Lorentz-Minkowski 3-space
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex16
rdl.citation.scopus16
rdl.citation.wos16
rdl.oa.statusgold
rdl.oa.urlhttp://www.doiserbia.nb.rs/ft.aspx?id=0354-51802317735G
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)