The ($n+1$)-Lipschitz homotopy group of the Heisenberg group ${\mathbb{H}}^n$

Abstract

We prove that for $n\ge 2$, the Lipschitz homotopy group ${\pi }_{n+1}^{\mathrm{Lip}}({\mathbb{H}}^n)\ne 0$ of the Heisenberg group ${\mathbb{H}}^n$ is nontrivial.