6-30【冯玥晴】A gluing construction of constant scalar curvature Kähler metrics of Poincaré type

发布时间:2024-06-21来源:几何与物理研究中心中文网页浏览次数:10

报告人:冯玥晴美国加州大学伯克利分校

时间:2024年6月30日 16:40-18:10

地点:五教5104


  

In this talk, we construct new examples of constant scalar curvature Kähler(cscK) metrics of Poincaré type from existing cscK ones. The construction is obtained via gluing a cscK metric on a compact Kähler manifold to a complete scalar-flat Kähler metric of Poincaré type on the complex space removing the origin. Assuming the compact Kähler manifold has no non-trivial holomorphic vector field, we prove the existence of cscK metrics of Poincaré type on this compact manifold removing finitely many points.