A general convergence result for the Ricci flow in higher dimensions

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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.
Final version, to appear in Duke Math Journal

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Differential Geometry, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/170146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.1218
 http://arxiv.org/abs/0706.1218

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arXiv