Complete classification of compact four-manifolds with positive isotropic curvature

Bing-Long Chen, Siu-Hung Tang, Xi-Ping Zhu

In this paper, we completely classify all compact 4-manifolds with positive isotropic curvature. We show that they are diffeomorphic to ${\mathbb{S}}^4,$ or $\mathbb{R}{\mathbb{P}}^4$…