ON THE CURVATURES OF TUBULAR SURFACE WITH BISHOP FRAME

Authors : Fatih DOGAN, Yusuf YAYLI

Pages : 59-69

Doi:10.1501/Commua1_0000000669

View : 7 | Download : 6

Publication Date : 2011-02-01

Article Type : Research Paper

Abstract :A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory Cinsert ignore into journalissuearticles values(t); insert ignore into journalissuearticles values(spine curve); of its center and a radius function rinsert ignore into journalissuearticles values(t); and it is parametrized through Frenet frame of the spine curve Cinsert ignore into journalissuearticles values(t);. If the radius function rinsert ignore into journalissuearticles values(t); = r is a constant, then the canal surface is called a tube or tubular surface. In this work, we investigate tubular surface with Bishop frame in place of Frenet frame and afterwards give some characterizations about special curves lying on this surface
Keywords : Bishop frame, Canal surface, tubular surface, geodesic, asymptoticcurve, line of curvature