2 papers
math.DG2024
Prescribing positive curvature with conical singularities on
Jingyi Chen, Yuxiang Li, Yunqing Wu
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 o…
math.DG2024
Prescribing negative curvature with cusps and conical singularities on compact surface
Jingyi Chen, Yuxiang Li, Yunqing Wu
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…