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Manifolds with almost nonnegative curvature operator

Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016

May 02, 2016 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Burkhard Wilking (Westfälische Wilhelms-Universität Münster)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • complex geometry

  • Riemannian geometry

  • geometric analysis

  • geometric flow

  • nonnegative curvature

  • curvature estimates

  • curvature operators

  • Green's functions

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14497

Abstract

We show that n-manifolds with a lower volume bound v and upper diameter D bound whose curvature operator is bounded below by −ε(n,v,D) also admit metrics with nonnegative curvature operator. The proof relies on heat kernel estimates for the Ricci flow and shows that various smoothing properties of the Ricci flow remain valid if an upper curvature bound is replaced by a lower volume bound

Supplements
25953?type=thumb Wilking.Notes 504 KB application/pdf Download
Video/Audio Files

14497

H.264 Video 14497.mp4 280 MB video/mp4 rtsp://videos.msri.org/data/000/025/786/original/14497.mp4 Download
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