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

Access to Document

10.4310/AJM.2009.v13.n2.a5

Cite this

@article{e26addb923224b87a043c3c686553eac,

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",

year = "2009",

doi = "10.4310/AJM.2009.v13.n2.a5",

language = "English",

volume = "13",

pages = "251--270",

journal = "Asian Journal of Mathematics",

issn = "1093-6106",

publisher = "International Press of Boston, Inc.",

number = "2",

}

TY - JOUR

T1 - Four-manifolds with 1/4-pinched flag curvatures

AU - Andrews, Ben

AU - Nguyen, Huy

PY - 2009

Y1 - 2009

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=71449127828&partnerID=8YFLogxK

U2 - 10.4310/AJM.2009.v13.n2.a5

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

M3 - Article

SN - 1093-6106

VL - 13

SP - 251

EP - 270

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 2

ER -

Four-manifolds with 1/4-pinched flag curvatures

Abstract

Access to Document

Other files and links

Fingerprint

Cite this