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<p>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.</p>

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Prescribing negative curvature with cusps and conical singularities on compact surface

  • 期刊论文

  • 发表日期：

    2026年1月12日

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  • Jingyi Chen,
  • Yuxiang Li,
  • Yunqing Wu

摘要

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.