New examples of $2$-nondegenerate real hypersurfaces in ${\mathbb{C}}^N$ with arbitrary nilpotent symbols

Martin Kolář, Ilya Kossovskiy, David Sykes

We introduce a class of uniformly $2$-nondegenerate CR hypersurfaces in ${\mathbb{C}}^N$, for $N>3$, having a rank $1$ Levi kernel. The class is first of all remarkable by the fact t…