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SUMMARY:How to produce a Ricci Flow via Cheeger-Gromoll exhaustion - Esthe
 r Cabezas-Rivas (Muenster)
DTSTART:20120305T160000Z
DTEND:20120305T170000Z
UID:TALK34905@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:We prove short time existence for the Ricci flow on open manif
 olds of nonnegative complex sectional curvature. We do not require upper c
 urvature bounds. By considering the doubling of convex sets contained in a
  Cheeger-Gromoll convex exhaustion and solving the singular initial value 
 problem for the Ricci flow on these closed manifolds\, we obtain a sequenc
 e of closed solutions of the Ricci flow with nonnegative complex sectional
  curvature which subconverge to a solution of the Ricci flow on the open m
 anifold. Furthermore\, we find an optimal volume growth condition which gu
 arantees long time existence\, and we give an analysis of the long time be
 haviour of the Ricci flow. Finally\, we construct an explicit example of a
 n immortal nonnegatively curved solution of the Ricci flow with unbounded 
 curvature for all time.
LOCATION:CMS\, MR15
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