$\sigma_{2}$ Yamabe problem on conic spheres II:boundary compactness of the moduli
Differential Geometry
2021-03-24 v2 Analysis of PDEs
Abstract
We prove a convergence theorem on the moduli space of constant metrics for conic 4-spheres. We show that when a numerical condition is convergent to the boundary case, the geometry of conic 4-spheres converges to the boundary case while preserving capacity.
Cite
@article{arxiv.1909.13418,
title = {$\sigma_{2}$ Yamabe problem on conic spheres II:boundary compactness of the moduli},
author = {Hao Fang and Wei Wei},
journal= {arXiv preprint arXiv:1909.13418},
year = {2021}
}