Global differential invariants of affine curves in R^2

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Atıf İçin Kopyala

Sağıroğlu Y.

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
• 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.