Ruled surfaces corresponding to hyper-dual curves

Authors : Selahattin ASLAN, Murat BEKAR, Yusuf YAYLI

Pages : 187-198

Doi:10.15672/hujms.988245

View : 15 | Download : 4

Publication Date : 2022-02-14

Article Type : Research Paper

Abstract :In this paper, we give the definition of the concept of unit hyper-dual sphere. We take a subset of this sphere and show that each curve on this subset represents two ruled surfaces in three dimensional real vector space such that these ruled surfaces have a common base curve and their rulings are perpendicular. Finally, we give some examples to illustrate the applications of our main results. 
Keywords : Hyper dual numbers, Unit hyper dual sphere, Hyper dual curves, Ruled surfaces, Principal curve