- Celal Bayar Üniversitesi Fen Bilimleri Dergisi
- Vol: 13 Issue: 2
- Singularities of the Darboux ruled surface of a space curve in the pseudo-Galilean space
Singularities of the Darboux ruled surface of a space curve in the pseudo-Galilean space
Authors : Tevfik Şahin
Pages : 423-431
Doi:10.18466/cbayarfbe.319911
View : 13 | Download : 6
Publication Date : 2017-06-30
Article Type : Research
Abstract :In this article, we establish the singularity theory in a pseudo-Galilean space , a special case of Cayley-Klein spaces. We consider the cases where the Darboux ruled surface in is diffeomorphic to some surfaces in the neighbourhood of a singular point. In addition, we investigate the relationship between singularities of discriminant, bifurcation sets of the function, and geometric invariants of curves in .Keywords : Height function, singularities, Darboux ruled surface