On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃

• Published in: Український математичний журнал
• Date: 2010
• Main Authors: Sahin, T., Yilmaz, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166306
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On singularities of the Galilean spherical darboux ruled surface of a space curve in G 3 / T. Sahin, M. Yilmaz // Український математичний журнал. — 2010. — Т. 62, № 10. — С. 1377–1387. — Бібліогр.: 21 назв. — англ.

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...