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Smoothing by Ricci-DeTurck flow and applications to scalar curvature

By Man-Chun Lee

Appears in collection : Not Only Scalar Curvature Seminar

In this talk, we will discuss the existence theory of Ricci-DeTurck flow when the initial metric is not smooth. This can be viewed as the Ricci Flow with a fixed gauge. As a application, we will discuss how we can use the geometric flow to study rigidity problems in scalar curvature when the metric is not entirely smooth. This is based on joint works with Chu, Tam and Huang.

Information about the video

  • Date of recording 01/06/2023
  • Date of publication 13/06/2023
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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