Equi-Affine Differential Invariants of a Pair of CurvesY. Sagiroglu (pp. 238-245)
Let G = SAff(n;R) be the group of all transformations in Rn as F (x) = gx + b such that g 2 SL(n;R) and b 2 Rn. The system of generators for the differential algebra of all G-invariant differential polynomials of a pair of curves is found for the group SAff(n;R). The conditions for G-equivalence of a pair of curves is obtained.
differential invariant, equi-afine group, equivalence of curves.