Hemen hemen kontakt eğriler
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Dosyalar
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
İnönü Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Y üksek lisans tezi olarak haz ırlanan bu çalı sma u ç b öl ümden olu şmaktadı r. Birinci b öl ümde, daha sonraki b öl umlerin daha iyi anlaşı labilmesi i cin e ğriler, Riemann manifoldlar, Kontakt manifoldlar, K-Kontakt manifoldlar, Sasakian Manifoldlar, Lorentzian kontakt manifoldlar, Hemen hemen parakontakt manifoldlar, Hemen hemen normal parakontakt metrik manifoldlar hakkı nda bazı temel kavramlara yer verildi. İkinci b öl ümde ise ilk olarak Legendre e ğrileri ve bazı örnekler verildi. Ayrı ca bu b öl ümde slant e ğriler, 3-boyutlu hemen hemen normal kontakt geometride slant e ğriler ve Lorentzian sasakian uzaylarda Legendre e ğrileri incelendi. Ü ç ünc ü b öl ümde ise 3-boyutlu hemen hemen normal parakontakt metrik manifoldlarda slant e ğriler, null slant e ğriler, null normal slant e ğriler , 3-boyutlu hemen hemen normal parakontakt metrik manifoldlarda Legendre e ğrileri ve 3-boyutlu Heisenberg gruplarda Legendre e ğrileri verildi.
This study which is designed as master science thesis covers three chapters. In the fi rst chapter we give some basic concepts about curves, Riemannian manifolds, contact manifolds, K-Contact manifolds, Sasakian manifolds, Lorentzian contact manifolds, almost paracontact metric manifolds and normal almost paracontact metric manifolds for the rest of the thesis that readers can easily understand. In the second chapter, fi rstly, Legendre curves and some examples are given. Furthermore, in this chapter, we investigate slant curves, slant curves in 3-dimensional normal almost geometry and Legendre curves in Lorentzian Sasaki spaces. In the third chapter, slant curves in 3-dimensional normal almost paracontact metric manifolds, null slant curves, null normal slant curves, Legendre curves in 3-dimensional normal almost paracontact metric manifolds and Legendre curves on 3-dimensional Heisenberg groups are given.
This study which is designed as master science thesis covers three chapters. In the fi rst chapter we give some basic concepts about curves, Riemannian manifolds, contact manifolds, K-Contact manifolds, Sasakian manifolds, Lorentzian contact manifolds, almost paracontact metric manifolds and normal almost paracontact metric manifolds for the rest of the thesis that readers can easily understand. In the second chapter, fi rstly, Legendre curves and some examples are given. Furthermore, in this chapter, we investigate slant curves, slant curves in 3-dimensional normal almost geometry and Legendre curves in Lorentzian Sasaki spaces. In the third chapter, slant curves in 3-dimensional normal almost paracontact metric manifolds, null slant curves, null normal slant curves, Legendre curves in 3-dimensional normal almost paracontact metric manifolds and Legendre curves on 3-dimensional Heisenberg groups are given.
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Künye
Kavuk, E. (2015). Hemen hemen kontakt eğriler. İnönü Üniversitesi Fen Bilimleri Enstitüsü. 1-93 ss.
