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

Autor: Case, Jeffrey S., Chen, Eric, Wang, Yi, Yang, Paul, Yung, Po-Lam
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 36 pages
Databáze: arXiv