Global differential invariants of affine curves in R^2
Far East Journal of Mathematical Sciences, cilt.96, sa.4, ss.497-515, 2015 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 96 Sayı: 4
- Basım Tarihi: 2015
- Doi Numarası: 10.17654/fjmsfeb2015_497_515
- Dergi Adı: Far East Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.497-515
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
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.