Four-manifolds with 1/4-pinched Flag Curvatures

Ben Andrews; Huy Nguyen

doi:ajm/1256650871

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Home > Journals > Asian J. Math. > Volume 13 > Issue 2 > Article

June 2009 Four-manifolds with 1/4-pinched Flag Curvatures

Ben Andrews, Huy Nguyen

Asian J. Math. 13(2): 251-270 (June 2009).

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Abstract

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.