Geometry & Topology Seminar

Singular metric and scalar curvature

  • Speaker: Man-Chun Lee (The Chinese University of Hong Kong)

  • Time: Dec 2, 2021, 15:00-16:00

  • Location: Tencent Meeting ID 411663053

Abstract 

A classical Theorem in conformal geometry states that on a closed manifold with non-positive Yamabe invariant, a smooth metric which attains the invariant must be Einstein. In this talk, we will discuss the extension to continuous metrics with high co-dimensions singularity. This resolves a conjecture of Schoen in the category of continuous metrics. This is a joint work with L.-F. Tam.