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A general convergence result for the Ricci flow in higher dimensions
Simon Brendle
Source: Duke Math. J. Volume 145, Number 3
(2008), 585-601.
Abstract
Let $(M, g_{0})$ be a compact Riemannian manifold of dimension $n{\geq}4$. We show that the normalized Ricci flow deforms $g_{0}$ to a constant curvature metric, provided that $(M, g_{0})\times\mathbb{R}$ has positive isotropic curvature. This condition is stronger than two-positive flag curvature but weaker than two-positive curvature operator
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1229349905
Digital Object Identifier: doi:10.1215/00127094-2008-059
Mathematical Reviews number (MathSciNet): MR2462114
Zentralblatt MATH identifier: 1161.53052
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