Corpus ID: 116967633

Space of subspheres and conformal invariants of curves

@inproceedings{Langevin2011SpaceOS,
  title={Space of subspheres and conformal invariants of curves},
  author={Remi Langevin and Jun O'Hara and Shojiro Sakata},
  year={2011}
}
  • Remi Langevin, Jun O'Hara, Shojiro Sakata
  • Published 2011
  • Mathematics
  • 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. 

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