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

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Publication Date : 2017-06-30

Article Type : Research Paper

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