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arXiv · 2408.12195

Prescribing negative curvature with cusps and conical singularities on compact surface

Jingyi Chen·Yuxiang Li·Yunqing Wu
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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.

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Jingyi Chen, Yuxiang Li, Yunqing Wu. 2024-08-22. Prescribing negative curvature with cusps and conical singularities on compact surface. https://arxiv.org/abs/2408.12195

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