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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 442501.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Four-manifolds with 1/4-pinched Flag Curvatures
Authors:Andrews, B.; Nguyen, Huy
Date of Publication (YYYY-MM-DD):2009-06
Title of Journal:Asian Journal of Mathematics
Volume:13
Issue / Number:2
Start Page:251
End Page:270
Review Status:not specified
Audience:Not Specified
Abstract / Description:The Ricci flow on a compact four-manifold preserves the condition of pointwise 1/4- pinching of flag curvatures. Any compact Riemannian four-manifold with 1/4-pinched flag curvatures is either isometric to $\Bbb C\Bbb P^{2}$ or diffeomorphic to a space-form.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:ISI:000271568300005 [ID No:1]
ISSN:1093-6106 [ID No:2]
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