Home » Workshop » Schedules » Manifolds with almost nonnegative curvature operator

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

	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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