ON THE CURVATURES OF TUBULAR SURFACE WITH BISHOP FRAME

Yıl 2011, Cilt: 60 Sayı: 1, 59 - 69, 01.02.2011

Fatih Dogan Yusuf Yaylı

https://doi.org/10.1501/Commua1_0000000669

Cited By: 14

Öz

A canal surface is the envelope of a moving sphere with varying
radius, defined by the trajectory C(t) (spine curve) of its center and a radius
function r(t) and it is parametrized through Frenet frame of the spine curve
C(t). If the radius function r(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

Anahtar Kelimeler

Bishop frame, Canal surface, tubular surface, geodesic, asymptoticcurve, line of curvature

Kaynakça

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• Xu, Z., Feng, R. and Sun G.J., Analytic and algebraic properties of canal surfaces, Journal of Computational and Applied Mathematics 195 (2006), 220-228. Current address : Fatih DO ¼GAN, Yusuf YAYLI, Ankara University, Faculty of Sciences, Dept.
• of Mathematics, Ankara, TURKEY E-mail address : [e-mail], [e-mail] URL: http://communications.science.ankara.edu.tr