## Duke Mathematical Journal

### Ancient solutions to the Ricci flow with pinched curvature

#### Abstract

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

#### Article information

Source
Duke Math. J., Volume 158, Number 3 (2011), 537-551.

Dates
First available in Project Euclid: 1 June 2011

https://projecteuclid.org/euclid.dmj/1306934362

Digital Object Identifier
doi:10.1215/00127094-1345672

Mathematical Reviews number (MathSciNet)
MR2805067

Zentralblatt MATH identifier
1219.53062

#### Citation

Brendle, Simon; Huisken, Gerhard; Sinestrari, Carlo. Ancient solutions to the Ricci flow with pinched curvature. Duke Math. J. 158 (2011), no. 3, 537--551. doi:10.1215/00127094-1345672. https://projecteuclid.org/euclid.dmj/1306934362

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