A compactness result for the CR Yamabe problem in three dimensions
Analysis of PDEs
2024-01-03 v1
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 . The theorem is proved by blow-up analysis.
Keywords
Cite
@article{arxiv.2401.00906,
title = {A compactness result for the CR Yamabe problem in three dimensions},
author = {Claudio Afeltra},
journal= {arXiv preprint arXiv:2401.00906},
year = {2024}
}