Ancient solutions to the Ricci flow with pinched curvature

We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching condition must have constant sectional curvature.

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Bibliographic Details
Published in:Duke mathematical journal 2011-06, Vol.158 (3), p.537-551
Main Authors: Brendle, Simon, Huisken, Gerhard, Sinestrari, Carlo
Format: Article
Language:English
Subjects:
53C21
53C44
curvature restrictions [See also 58J60]
etc.
Geometric evolution equations (mean curvature flow
including PDE methods
Methods of Riemannian geometry
Ricci flow
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Description
Summary:We show that any ancient solution to the Ricci flow which satisfies a suitable curvature pinching condition must have constant sectional curvature.
ISSN:0012-7094
1547-7398
DOI:10.1215/00127094-1345672