Author:
Izumiya Shyuichi,Sano Takasi
Abstract
We study affine invariants of space curves from the viewpoint of singularity theory of smooth functions. With the aid of singularity theory, we define a new equi-affine frame for space curves. We also introduce two surfaces associated with this equi-affine frame and give a generic classification of the singularities of those surfaces.
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. Generic Curves and Surfaces
2. 9 Giblin P. J. and Sapiro G. . Affine invariant distances, envelopes and symmetry sets (Preprint, HP Laboratories Technical Report, 1996).
3. Generic Geometry
4. On singularities, envelopes and elementary differential geometry
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