Global differential invariants of affine curves in R^2


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Sağıroğlu Y.

Far East Journal of Mathematical Sciences, vol.96, no.4, pp.497-515, 2015 (Refereed Journals of Other Institutions)

  • Publication Type: Article / Article
  • Volume: 96 Issue: 4
  • Publication Date: 2015
  • Doi Number: 10.17654/fjmsfeb2015_497_515
  • Title of Journal : Far East Journal of Mathematical Sciences
  • Page Numbers: pp.497-515

Abstract

In this paper, the complete system of affine global differential invariants of affine curves in  is obtained. The problem of affine equivalence of affine curves is reduced to that of paths. Conditions of affine-equivalence of curves are given in terms of the affine invariants. It is obtained that the generating affine invariants are independent.