会议 ID：263 288 333   

      List's flow was introduced by B.List, which is a tool to find the static Einstein vacuum equation. In this talk, I will focus on the analytic part of List flow. Assume that the scalar curvature is bounded on M/times [0, T), in dimenison four, we derive the L^2 bound of the Riemannian curvature along the flow. In higher dimension, assume moreover that the L^{n/2} norm of Weyl curvature is bounded, we obtain that the L^{n/2} norm of Riemannian curvature is bounded, the limit will also be discussed as t tends to T.