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Generic affine differential geometry of space curves

Published online by Cambridge University Press:  14 November 2011

Shyuichi Izumiya  and
Takasi Sano
Shyuichi Izumiya
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
Takasi Sano
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 2 , 1998 , pp. 301 - 314
Copyright
Copyright © Royal Society of Edinburgh 1998

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