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Four-manifolds with 1/4-pinched flag curvatures

Andrews, Benjamin; Nguyen, Huy

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 CP2 or diffeomorphic to a space-form.

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/17480
Source: Asian Journal of Mathematics

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