A CR structure with blowing up solutions to the CR Yamabe problem
Analysis of PDEs
2025-01-16 v1 Differential Geometry
Abstract
We prove the existence of a CR structure on such that the set of solutions to the CR Yamabe problem is not compact and admits a blowing-up sequence. Such CR structure is built deforming the standard CR structure of in the direction of the Rossi sphere CR structure on small balls, and the existence of the blowing-up sequence of solutions is proved through the Lyapunov-Schmidt method.
Keywords
Cite
@article{arxiv.2501.08782,
title = {A CR structure with blowing up solutions to the CR Yamabe problem},
author = {Claudio Afeltra and Andrea Pinamonti},
journal= {arXiv preprint arXiv:2501.08782},
year = {2025}
}