Show simple item record

dc.contributor.advisorUğurlu, Hasan Hüseyin
dc.contributor.authorÖnder, Mehmet
dc.date.accessioned2021-05-07T08:44:02Z
dc.date.available2021-05-07T08:44:02Z
dc.date.submitted2004
dc.date.issued2018-08-06
dc.identifier.urihttps://acikbilim.yok.gov.tr/handle/20.500.12812/598764
dc.description.abstractÖZET Bu çalışmada timelike ve spacelike eğrilerin küresel olma şartları incelenir. Öncelikle Rj Minkowski 3-uzayındaki timelike ve spacelike eğrilerin, Frenet formüllerine, eğrilik ve burulmalarına bağlı olarak Lorentziyen küre ve hiperbolik küre üzerinde kalma şartları verilir. Daha sonra da dual Frenet formüllerine ve dual eğrilik ve burulmalara bağlı olarak, dual timelike ve spacelike eğrilerin, dual Lorentziyen birim küre ve dual hiperbolik birim küre üzerinde kalma şartları verilir. Ayrıca her iki durum için de integral karakterizasyonları incelenir.
dc.description.abstractABSTRACT In this study, the conditions to lie on the sphere of timelike and spacelike curves are investigated. Firstly, the conditions to lie on the Lorentzian and hyperbolic spheres of the timelike and spacelike curves in the Minkowski 3- space Rf are given by means of Frenet formulae, its curvature and torsion. Later, the conditions to lie on the dual Lorentzian unit sphere 5,2 and dual hyperbolic unit sphere Hi of dual timelike and spacelike curves are given by means of dual Frenet formulae of the striction line of a ruled surface of Rf, its curvature and torsion. Furthermore, for two conditions, the integral characterizations are obtained.en_US
dc.languageTurkish
dc.language.isotr
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.rightsAttribution 4.0 United Statestr_TR
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMatematiktr_TR
dc.subjectMathematicsen_US
dc.titleTemelike ve spacelike eğrilerinin karakterizasyonları
dc.title.alternativeCharacterization of the timelike and spacelite curves
dc.typemasterThesis
dc.date.updated2018-08-06
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.identifier.yokid166414
dc.publisher.instituteFen Bilimleri Enstitüsü
dc.publisher.universityCELÂL BAYAR ÜNİVERSİTESİ
dc.identifier.thesisid149974
dc.description.pages58
dc.publisher.disciplineGeometri Bilim Dalı


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/embargoedAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/embargoedAccess