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

MakaleAçık Erişim

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
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.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)