EQUI-AFFINE DIFFERENTIAL INVARIANTS OF A PAIR OF CURVES

Let G = SAff(n;R) be the group of all transformations in Rn as F (x) = gx + b such that g Є SL(n;R) and b Є 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.