Complete classification of compact four-manifolds with positive isotropic curvature

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171320In this paper, we completely classify all compact 4-manifolds with positive isotropic curvature. We show that they are diffeomorphic to $\mathbb{S}^4,$ or $\mathbb{R}\mathbb{P}^4$ or quotients of $\mathbb{S}^3\times \mathbb{R}$ by a cocompact fixed point free subgroup of the isometry group of the standard metric of $\mathbb{S}^3\times \mathbb{R}$, or a connected sum of them.33 pagesDifferential GeometryGeometric TopologyComplete classification of compact four-manifolds with positive isotropic curvaturetext