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

```@article{Brendle2007AGC,
title={A general convergence result for the Ricci flow in higher dimensions},
author={S. Brendle},
journal={arXiv: Differential Geometry},
year={2007}
}```
• S. Brendle
• Published 2007
• Mathematics
• arXiv: Differential Geometry
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.
78 Citations

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