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Generic affine differential geometry of plane curves

Published online by Cambridge University Press:  20 January 2009

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

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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 315 - 324
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

REFERENCES

1.Blaschke, W., Vorlesungen uber Differentialgeometrie II, Affine Differentialgeometrie (Springer, 1923).Google Scholar
2.Bruce, J. W., On singularities, envelopes and elementary differential geometry, Math. Proc. Cambridge Philos. Soc. 89 (1981), 43–48.CrossRefGoogle Scholar
3.Bruce, J. W. and Giblin, P. J., Generic curves and surfaces, J. London Math. Soc. 24 (1981), 555–561.CrossRefGoogle Scholar
4.Bruce, J. W. and Giblin, P. J., Generic Geometry, Amer. Math. Monthly 90 (1983), 529–545.CrossRefGoogle Scholar
5.Bruce, J. W. and Giblin, P. J., Curves and singularities (second edition) (Cambridge University Press, 1992).CrossRefGoogle Scholar
6.Fidal, D. L. and Giblin, P. J., Generic 1-parameter families of caustics by reflexion in the plane, Math. Proc. Cambridge Philos. Soc. 96 (1984), 425–432.CrossRefGoogle Scholar
7.Fidal, D. L., The existence of sextactic points, Math. Proc. Cambridge Philos. Soc. 96 (1984), 433–436.CrossRefGoogle Scholar
8.Schirokow, P. A. and Schirokow, A. P., Affine Differentialgeometrie (Teubner, 1962).Google Scholar
9.Su, B., Affine Differential Geometry (Gordon and Breach, 1983).Google Scholar