A general convergence result for the Ricci flow in higher dimensions
Differential Geometry
2008-09-30 v4 Analysis of PDEs
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) x R has positive isotropic curvature. This condition is stronger than 2-positive flag curvature but weaker than 2-positive curvature operator.
Keywords
Cite
@article{arxiv.0706.1218,
title = {A general convergence result for the Ricci flow in higher dimensions},
author = {S. Brendle},
journal= {arXiv preprint arXiv:0706.1218},
year = {2008}
}
Comments
Final version, to appear in Duke Math Journal