Year: 2024
Type: article
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 [Formula: see text]. The theorem is proved by blow-up analysis.
Author: Claudio Afeltra
Institution: University of Trento
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403503482