On singularities of the Galilean spherical darboux ruled surface of a space curve in $G_3$

• Date: 2010
• Main Authors: Şahin, T., Yilmaz, M., Шахін, Т., Йилмаз, М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2962
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the singularities of Galilean height functions intrinsically related to the Frenet frame along a curve embedded into the Galilean space. We establish the relationships between the singularities of the discriminant and the sets of bifurcations of the function and geometric invariants of curv...