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

Year 2017, Volume: 13 Issue: 2, 423 - 431, 30.06.2017

Tevfik Şahin

https://doi.org/10.18466/cbayarfbe.319911

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

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