1. Singularities of the Darboux ruled surface of a space curve in the pseudo-Galilean space
- Author
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Tevfik Şahin and Amasya Üniversitesi
- Subjects
Pure mathematics ,Height function,singularities,Darboux ruled surface ,Ruled surface ,Singularity theory ,Mathematical analysis ,Mühendislik ,Singular point of a curve ,Darboux integral ,Darboux vector ,Galilean ,Engineering ,Materials Chemistry ,Ortak Disiplinler ,Gravitational singularity ,Diffeomorphism ,Mathematics - Abstract
In this article, we establish the singularity theory in a pseudo-Galilean space , a special case of CayleyKlein 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 . In this article, we establish the singularity theory in a pseudo-Galilean space , a special case of CayleyKlein 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 .
- Published
- 2017
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