Contents V.6, N.2, 2015

  • Equi-Affine Differential Invariants of a Pair of Curves
    Y. Sagiroglu (pp. 238-245)
  • Abstract

    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.

    Keywords

    differential invariant, equi-afine group, equivalence of curves.

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