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  Four-manifolds with 1/4-pinched Flag Curvatures

Andrews, B., & Nguyen, H. T. (2009). Four-manifolds with 1/4-pinched Flag Curvatures. Asian Journal of Mathematics, 13(2), 251-270.

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Andrews, B., Author
Nguyen, Huy T.1, Author           
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1Geometric Analysis and Gravitation, AEI Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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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.

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 Dates: 2009-06
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 442501
ISI: 000271568300005
ISSN: 1093-6106
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Title: Asian Journal of Mathematics
Source Genre: Journal
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Pages: - Volume / Issue: 13 (2) Sequence Number: - Start / End Page: 251 - 270 Identifier: -