Space of subspheres and conformal invariants of curves

Details Space of subspheres and conformal invariants of curves Space of subspheres and conformal invariants of curves

2011-02-02

arxiv.org/abs/1102.0344v1

Mathematics

Differential Geometry

14pages

Scientific paper

A space curve is determined by conformal arc-length, conformal curvature, and conformal torsion, up to M\"obius transformations. We use the spaces of osculating circles and spheres to give a conformally defined moving frame of a curve in the Minkowski space, which can naturally produce the conformal invariants and the normal form of the curve. We also give characterization of canal surfaces in terms of curves in the set of circles.

Affiliated with

Also associated with

No associations

Rating

Space of subspheres and conformal invariants of curves 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 Space of subspheres and conformal invariants of curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space of subspheres and conformal invariants of curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79716