A general method to construct invariant PDEs on homogeneous manifolds

Dmitri V. Alekseevsky, Jan Gutt, Gianni Manno +1

Let $M=G/H$ be an $(n+1)$-dimensional homogeneous manifold and $J^k(n,M)=:J^k$ be the manifold of $k$-jets of hypersurfaces of $M$. The Lie group $G$ acts naturally on each $J^k$…