Four-manifolds with 1/4-pinched flag curvatures

Ben Andrews; Huy Nguyen

doi:10.4310/AJM.2009.v13.n2.a5

Four-manifolds with 1/4-pinched flag curvatures

Ben Andrews^*, Huy Nguyen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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 CP² or diffeomorphic to a space-form.

Original language	English
Pages (from-to)	251-270
Number of pages	20
Journal	Asian Journal of Mathematics
Volume	13
Issue number	2
DOIs	https://doi.org/10.4310/AJM.2009.v13.n2.a5
Publication status	Published - 2009

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title = "Four-manifolds with 1/4-pinched flag curvatures",

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 CP2 or diffeomorphic to a space-form.",

keywords = "Ricci flow, Sphere theorem",

author = "Ben Andrews and Huy Nguyen",

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AB - 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.

KW - Ricci flow

KW - Sphere theorem

UR - https://www.scopus.com/pages/publications/71449127828

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DO - 10.4310/AJM.2009.v13.n2.a5

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VL - 13

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EP - 270

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

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Four-manifolds with 1/4-pinched flag curvatures

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