Singularities of the Darboux ruled surface of a space curve in the pseudo-Galilean space

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

References

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