Bifurcations of affine invariants for one-parameter family of generic convex plane curves

Takashi Sano

Type: Article

Publication Date: 1999-01-01

Citations: 5

DOI: https://doi.org/10.4064/-50-1-227-236

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Abstract

We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.

Locations

Banach Center Publications - View - PDF
Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University) - View - PDF

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Citing (7)

Action	Title	Year	Authors
+	Singular points of smooth mappings	1979	C. G. Gibson
+ PDF Chat	Isotopies of generic plane curves	1983	J. W. Bruce
+ PDF Chat	Generic affine differential geometry of plane curves	1998	Shyūichi Izumiya Takasi Sano
+	Generic 1-parameter families of caustics by reflexion in the plane	1984	D. L. Fidal P. J. Giblin
+	Curves and Singularities	1992	J. W. Bruce P. J. Giblin
+	The existence of sextactic points	1984	D. L. Fidal
+	Curves and Singularities: A Geometrical Introduction to Singularity Theory.	1987	J. Callahan J. W. Bruce P. J. Giblin