R^2 de Bir n-li Eğri Ailesinin Afin Diferansiyel İnvaryantları

Bu çalışmada tane eğrinin üreteç diferansiyel invaryantları belirlenmiş olup, bu üreteç kümesinin fonksiyonel bağımsız olduğu gösterilmiştir. Ayrıca bu diferansiyel invaryantlar kullanılarak de iki tane li eğri ailesinin denklik problemi araştırılmıştır.

Anahtar Kelimeler:

afin diferansiyel geometri, invaryant, eğriler

Affine Differential Invariants of a Family of n Curves in R^2

In this study, we determine generating differential invariants for curves, which is shown to be fonctionally independent. In addition, using these diffenrial invariants, the equivalence problem of two families of curves in is investigated.

Keywords:

affine differential geometry, invariant, curves,

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