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arXiv · 2401.00906

A compactness result for the CR Yamabe problem in three dimensions

Claudio Afeltra
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Abstract

We prove the compactness of the set of solutions to the CR Yamabe problem on a compact strictly pseudoconvex CR manifold of dimension three whose blow-up manifolds at every point have positive p-mass. As a corollary we deduce that compactness holds for CR-embeddable manifolds which are not CR-equivalent to $S^3$. The theorem is proved by blow-up analysis.

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Claudio Afeltra. 2023-12-31. A compactness result for the CR Yamabe problem in three dimensions. https://arxiv.org/abs/2401.00906

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