RULED SURFACES WITH CONSTANT SLOPE RULING ACCORDING TO DARBOUX FRAME

Ayşe YAVUZ, Fatma ATEŞ, Yusuf YAYLI
2020 Mathematical sciences and applications e-notes  
The main scope of this paper is to investigate ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and sufficient conditions for these surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces.
doi:10.36753/mathenot.640345 fatcat:wsz5kzfkonfjdcfvpp26ctuzwy