Generic affine differential geometry of space curves

Royal Society of Edinburgh - Proceedings A

Volumn 128, Issue 2, 1998, Pages 301-314

  Izumiya, Shyuichi ^a   Sano, Takasi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044448715     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500012804     Document Type: Article

References (15)

1. W. Blaschke. Vorlesusngen uber Differentialgeometrie II, Affine Differentialgeometrie (Berlin: Springer, 1923).
2. J. W. Bruce. On singularities, envelopes and elementary differential geometry. Math. Proc. Cambridge Philos. Soc. 89 (1981), 43-8.
3. J. W. Bruce and P. J. Giblin. Generic curves and surfaces. J. London Math. Soc. 24 (1981), 555-61.
4. J. W. Bruce and P. J. Giblin. Generic Geometry. Amer. Math. Monthly 90 (1983), 529-45.
5. J. W. Bruce and P. J. Giblin. Curves and singularities (London: Cambrige University Press, 1984).
6. D. L. Fidal. The existence of sextactic points. Math. Proc. Cambridge Philos. Soc. 96 (1984), 433-6.
7. D. L. Fidal and P. G. Giblin. Generic 1-parameter families of caustics by reflexion in the plane. Math. Proc. Cambridge Philos. Soc. 96 (1984), 425-32.
8. P. J. Giblin and G. Sapiro. Affine-invariant symmetry of sets (Preprint, 1995).
9. P. J. Giblin and G. Sapiro. Affine invariant distances, envelopes and symmetry sets (Preprint, HP Laboratories Technical Report, 1996).
10. S. Izumiya and T. Sano. Generic affine differential geometry of plane curves. Proc. Edinburgh Math. Soc. (to appear).
11. D. H. K. Mochida, R. C. Romero-Fuster and M. A. Ruas. The geometry of surfaces in 4-space from a contact viewpoint. Geom. Dedicata 54 (1995), 323-32.
12. K. Nomizu and T. Sasaki. Affine Differential Geometry (Cambridge: Cambridge University Press, 1993).
13. I. Porteous. The normal singularities of submanifold. J. Differential Geom. 5 (1971), 543-64.
14. P. A. Schirokow and A. P. Schirokow. Affine Differentialgeometrie (Teubner, 1962).
15. B. Su. Affine Differential Geometry (Stuttgart: Gordon and Breach, 1983).