Global differential invariants of affine curves in R^2
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
- Open Archive Collection: AVESIS Open Access Collection
- 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.