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arXiv · 1303.6547

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

Chin-Yu Hsiao·Po-Lam Yung
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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 $\mathbb{H}^1$.

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Chin-Yu Hsiao, Po-Lam Yung. 2013-03-26. The tangential Cauchy-Riemann complex on the Heisenberg group Via Conformal Invariance. https://arxiv.org/abs/1303.6547

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