Moreover, we give some examples about the contact theory in IR3.
📌 3 Key Takeaways
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Objective & Hypothesis:The contact of two space curves of R3 is investigated J.Faward ,in [1], and the eontact of two ruled surface is investigated by M.Kula in [2].
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Key Findings & Data:In this study, we defined the contact of two time-like curves and the contact of two time-like ruled surface in IRf is given by [1] and [2].
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Conclusion & Impact:Moreover, we give some examples about the contact theory in IR3.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
The contact of two space curves of R3 is investigated J.Faward ,in [1], and the eontact of two ruled surface is investigated by M.Kula in [2]. In this study, we defined the contact of two time-like curves and the contact of two time-like ruled surface in IRf is given by [1] and [2]. Moreover, we give some examples about the contact theory in IR3.
Özet
J.Faward, [1] de, R3 ün iki uzay eğrisinin değmesini ve M.Kula da [2] de iki regle yüzeyin değmesini araştırdı. Bu çalışmada, biz , İR3 de verilmiş iki time-like eğrinin ve iki time-like regle yüzeyin değmesini [1] ve [2] vasıtası ile tanımladık. Ayrıca, JRf deki değme teorisi hakkında bazı örnekler verdik.
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Cite This Article
YAYLI, Y., KEM, A., ÖZYILMAZ, E. (2022). The contact of the two time-like curves and two time-like ruled surfaces in Minkowski space IR3. Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 14 - Sayı: 3, 809–819. https://ajindex.com/articles/522430
References (1)
Favard,J. " Cours de Geometrie Differentielle Locale, p. 146, Gauthier-Villars,Paris,(1957). 2.Kula,M. " İki Regle Yüzeyin ve Bir Regle Yüzeyle Bir Doğru Kongrüansının Rakordemanında Parametre Seçimi" E.Ü.F.F., Der., Cilt A,S. 1,(1977). 3.Birman,G.S. "Trigonometry in Lorentzian Geometry" Ann.Math.Mont 91(9),543-549,(1984) 4.O'Neill, B. " Semi-Riemannian Geometry with applications to relativity", Academic Press,London,(1983). 5.Blaschke,W. " Diferensiyel Geometri Dersleri, İst.Üniv.Yay., No.443, İstanbul,(1930). 6.Uğurlu,H.H.-Kocayiğit,H. " The Frenet And Darboux Instantaneous Rotation Vectors of Curves On Time-like Surface" Mathematical and Computational Applications, Vol.l.No.2.pp 133-141,(1996).