# Manifolds with positive curvature operators are space forms

@article{Boehm2006ManifoldsWP, title={Manifolds with positive curvature operators are space forms}, author={Christoph Boehm and B. Wilking}, journal={Annals of Mathematics}, year={2006}, volume={167}, pages={1079-1097} }

The Ricci flow was introduced by Hamilton in 1982 [H1] in order to prove that a compact three-manifold admitting a Riemannian metric of positive Ricci curvature is a spherical space form. In dimension four Hamilton showed that compact four-manifolds with positive curvature operators are spherical space forms as well [H2]. More generally, the same conclusion holds for compact four-manifolds with 2-positive curvature operators [Che]. Recall that a curvature operator is called 2-positive, if the… Expand

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