The relation between parameter curves and lines of curvature on canal surfaces

Details The relation between parameter curves and lines of curvature on canal surfaces The relation between parameter curves and lines of curvature on canal surfaces

2012-03-20

arxiv.org/abs/1203.4604v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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). In this paper, we investigate when parameter curves of the canal
surface are also lines of curvature. Last of all, for special spine curves we
obtain the radius function of canal surfaces.

Affiliated with

Also associated with

No associations

Rating

The relation between parameter curves and lines of curvature on canal surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The relation between parameter curves and lines of curvature on canal surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The relation between parameter curves and lines of curvature on canal surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487706