Four-manifolds with 1/4-pinched Flag Curvatures

Ben Andrews, Huy The Nguyen

Type: Article

Publication Date: 2009-01-01

Citations: 11

DOI: https://doi.org/10.4310/ajm.2009.v13.n2.a5

Abstract

The Ricci flow on a compact four-manifold preserves the condition of pointwise 1/4pinching of flag curvatures.Any compact Riemannian four-manifold with 1/4-pinched flag curvatures is either isometric to CP 2 or diffeomorphic to a space-form.

Locations

Asian Journal of Mathematics - View - PDF

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