On ruled surfaces of natural lift curves and tangent bundle of pseudo-sphere
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this study, we give a one-to-one correspondence between the natural lift curves on tangent bundles of Lorentzian unit sphere T S2 1 and hyperbolic unit sphere TH2 and spacelike or timelike ruled surfaces in IR3 1 . Then we present some propositions for the properties of ruled surfaces generated by natural lift curves. We calculate striction curve, shape operator, Gaussian curvature and mean curvature of the ruled surface generated by the natural lift curve. We present developability condition of these ruled surfaces. Finally, we give an example to support our main results.
Açıklama
Anahtar Kelimeler
Tangent bundle, Ruled surface, Unit dual pseudo-sphere
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Karaca, E. ve Çalışkan, M. (2019). On ruled surfaces of natural lift curves and tangent bundle of pseudo-sphere. International Conference of Mathematical Sciences (ICMS 2019). s. 197.