John and uniform domains in generalized Siegel boundaries

Roberto Monti, Daniele Morbidelli

Given the pair of vector fields $X={\partial }_x+|z{|}^{2m}y{\partial }_t$ and $Y={\partial }_y-|z{|}^{2m}x{\partial }_t,$ where $(x,y,t)=(z,t)\in {\mathbb{R}}^3=\mathbb{C}\times \mathbb{R}$, we gi…