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arXiv · 2304.02823

The Neumann problem on the Clifford torus in $\mathbb{S}^3$

Jeffrey S. Case·Eric Chen·Yi Wang·Paul Yang·Po-Lam Yung
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Abstract

We discuss the solution of the Neumann problem associated with the CR Yamabe operator on a subset $\Omega$ of the CR manifold $\mathbb{S}^3$ bounded by the Clifford torus $\Sigma$. We also discuss the Yamabe-type problem of finding a contact form on $\Omega$ which has zero Tanaka--Webster scalar curvature and for which $\Sigma$ has constant $p$-mean curvature.

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Jeffrey S. Case, Eric Chen, Yi Wang, Paul Yang, Po-Lam Yung. 2023-04-06. The Neumann problem on the Clifford torus in $\mathbb{S}^3$. https://arxiv.org/abs/2304.02823

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