Prescribing negative curvature with cusps and conical singularities on compact surface
Differential Geometry
2024-12-12 v2 Analysis of PDEs
Abstract
On a compact surface, we prove existence and uniqueness of the conformal metric whose curvature is prescribed by a negative function away from finitely many points where the metric has prescribed angles presenting cusps or conical singularities.
Keywords
Cite
@article{arxiv.2408.12195,
title = {Prescribing negative curvature with cusps and conical singularities on compact surface},
author = {Jingyi Chen and Yuxiang Li and Yunqing Wu},
journal= {arXiv preprint arXiv:2408.12195},
year = {2024}
}