Global differential invariants of affine curves in R^2

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Copy For Citation

Sağıroğlu Y.

Far East Journal of Mathematical Sciences, vol.96, no.4, pp.497-515, 2015 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 96 Issue: 4
• Publication Date: 2015
• Doi Number: 10.17654/fjmsfeb2015_497_515
• Journal Name: Far East Journal of Mathematical Sciences
• Journal Indexes: zbMATH, Civil Engineering Abstracts
• Page Numbers: pp.497-515
• Karadeniz Technical University Affiliated: Yes

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.