Invariant Differential Equations and the Adler-Gel'fand-Dikii Bracket

Artemio Gonzalez-Lopez, Rafael Hernandez Heredero, Gloria Mari Beffa

In this paper we find an explicit formula for the most general vector evolution of curves on $R{P}^{n-1}$ invariant under the projective action of $SL(n,R)$. When this formula is app…