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dc.contributor.advisorUğurlu, Hasan Hüseyin
dc.contributor.authorÇetinkaya, Bülent
dc.date.accessioned2021-05-07T08:44:39Z
dc.date.available2021-05-07T08:44:39Z
dc.date.submitted1998
dc.date.issued2018-08-06
dc.identifier.urihttps://acikbilim.yok.gov.tr/handle/20.500.12812/598927
dc.description.abstractÖZET Rf Minkowski 3-uzayında bir (c) time-like eğrisinin Frenet ve Darboux üçyüzlülerinin sonucu olan Frenet ve Darboux ( ani dönme ) vektörleri arasındaki bağıntılar bilinmektedir.Bu ani dönme vektörleri, Lorentziyen geometride ve kinematikte önemli rol oynar.Ömeğin, bir time-like yüzeyin (oı) time-like ve (c2) space-like parametre eğrileri ile keyfi bir (c) time-like eğrisinin Darboux ani dönme vektörleri arasında Û0 w = Wicosh O + W2Sinh 6 + N- - ds eşitliği vardır.Burada N, yüzey normali ve 0, (c) ile (c,) arasındaki hiperbolik açıdır.(c) time-like eğrisi yerine buna dik olan (Cq) space-like eğrisi seçilirse.yukardaki eşitlik d0 w0 = WtSinh $ + w2cosh 9 + N -- ds biçimine dönüşür.lki formülden time-like yüzeyler için Euler, O.Bonnet, Liouville ve Enneper formülleri elde edilir. m
dc.description.abstractABSTRACT In the Minkowski 3-space Rf as a result of using the Frenet and Darboux trihedrons of a time-like curve (c), some of the relationship are known between the Frenet and Darboux (instantaneous rotation) vectors. These instantaneous rotation vectors have very important roles in Lorentz geometry and kinematics. For instance, there is an equality of w = w1cosh 9 + W2Sinh 9 + N- - ds between Darboux vectors of the parameter curves (cO and (cs) and arbitrary space-like curve (c) on a time-like surface. Here N is normal of surface and 9 is an hyperbolic angle between (c) and (Ct).lf a space-like curve (Co) which is perpendicular to time-like curve (c), is taken, the above equality turns into the formula d9 Wo = wisinh 9 + W2C0sh 9 + N- -. ds Euler, O.Bonnet, Liouville and Ennper formulas are obtained as a result of these two formulas for the time-like surfaces. IVen_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.titleTime-like yüzeylerin geometrisi üzerine
dc.title.alternativeOn the geometry of time-like surfaces
dc.typemasterThesis
dc.date.updated2018-08-06
dc.contributor.departmentDiğer
dc.subject.ytmSpace
dc.subject.ytmTimelike surfaces
dc.identifier.yokid45697
dc.publisher.instituteFen Bilimleri Enstitüsü
dc.publisher.universityCELÂL BAYAR ÜNİVERSİTESİ
dc.identifier.thesisid45697
dc.description.pages70
dc.publisher.disciplineDiğer


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