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Four-manifolds with 1/4-pinched flag curvatures

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Date

2009

Authors

Andrews, Benjamin
Nguyen, Huy

Journal Title

Journal ISSN

Volume Title

Publisher

International Press

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.

Description

Keywords

Keywords: Ricci flow; Sphere theorem

Citation

URI

http://hdl.handle.net/1885/17480

Collections

ANU Research Publications

Source

Asian Journal of Mathematics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31

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01_Andrews_Four-manifolds_with_2009.pdf (233.97 KB)

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