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. 
Curvature, sphere theorems, and the Ricci flow
Non-negative Ricci curvature on closed manifolds under Ricci flow
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Evolution equations in Riemannian geometry
The differentiable sphere theorem for manifolds with positive Ricci curvature
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