Four-manifolds with 1/4-pinched Flag Curvatures
Ben Andrews and Huy Nguyen
Source: Asian J. Math. Volume 13, Number 2 (2009), 251-270.
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.
Primary Subjects: 53C44, 53C20
Secondary Subjects: 35K55, 58J35, 53C21
Keywords: Ricci flow; Sphere theorem
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ajm/1256650871
Asian Journal of Mathematics
