On ruled surfaces of natural lift curves and tangent bundle of pseudo-sphere

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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.