Generic affine differential geometry of space curves

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)

Subject

General Mathematics

Reference15 articles.

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