Differential Geometry Seminar

Organizers：

Jialong Deng, Akito Futaki

Speaker：

Yueqing Feng (Berkeley)

Time：

Tues., 21:00-22:00

Oct. 8, 2024

Online：

Zoom Meeting ID: 271 534 5558

Passcode: YMSC

Title：

A gluing construction of constant scalar curvature Kähler metrics of Poincaré type

Abstract：

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 $\mathbb{C}^n$ 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.