Complete classification of compact four-manifolds with positive isotropic curvature

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dc.creatorChen, Bing-Long
dc.creatorTang, Siu-Hung
dc.creatorZhu, Xi-Ping
dc.date2008-10-11
dc.date.accessioned2026-07-07T10:09:26Z
dc.date.available2026-07-07T10:09:26Z
dc.descriptionIn 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.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0810.1999
dc.identifierhttp://arxiv.org/abs/0810.1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171320
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleComplete classification of compact four-manifolds with positive isotropic curvature
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