Prescribing positive curvature with conical singularities on $\mathbb S^2$
Differential Geometry
2024-08-23 v1 Analysis of PDEs
Abstract
For conformal metrics with conical singularities and positive curvature on , we prove a convergence theorem and apply it to obtain a criterion for nonexistence in an open region of the prescribing data. The core of our study is a fine analysis of the bubble trees and an area identity in the convergence process.
Cite
@article{arxiv.2408.12201,
title = {Prescribing positive curvature with conical singularities on $\mathbb S^2$},
author = {Jingyi Chen and Yuxiang Li and Yunqing Wu},
journal= {arXiv preprint arXiv:2408.12201},
year = {2024}
}