2 problems

Let $L$ be a real-analytic three-dimensional $\operatorname{gl}$-regular Nijenhuis operator given in the form $L_{\operatorname{comp1}}$. Let $f(x,y,z)$, $g(x,y,z)$ and $h(x,y,z)$…

Let $M$ be a manifold, let $\mathcal{F}$ be the relevant foliation, and let $N:T\mathcal{F}\to TM$ be a Kronecker PNO of generic type. Extension conjecture. In any dimension, $N$ c…