A general convergence result for the Ricci flow in higher dimensions

Details A general convergence result for the Ricci flow in higher dimensions A general convergence result for the Ricci flow in higher dimensions

2007-06-08

arxiv.org/abs/0706.1218v4

Mathematics

Differential Geometry

Final version, to appear in Duke Math Journal

Scientific paper

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) x R has positive isotropic curvature. This condition is
stronger than 2-positive flag curvature but weaker than 2-positive curvature
operator.

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