The tangential Cauchy-Riemann complex on the Heisenberg group Via Conformal Invariance

Abstract

The Heisenberg group ${\mathbb{H}}^1$ is known to be conformally equivalent to the CR sphere ${\mathbb{S}}^3$ minus a point. We use this fact, together with the knowledge of the tangential Cauchy-Riemann operator on the compact CR manifold ${\mathbb{S}}^3$, to solve the corresponding operator on ${\mathbb{H}}^1$.

Cited by in corpus (1)

• An explicit formula for Szego kernels on the Heisenberg group