A 7-manifold with positive curvature

Owen Dearricott

doi:10.1215/00127094-1334022

Abstract

We demonstrate the existence of a metric of positive sectional curvature on the $3$ -Sasakian $7$ -manifold over Hitchin's self-dual Einstein orbifold with $k=5$ .

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Owen Dearricott. "A 7-manifold with positive curvature." Duke Math. J. 158 (2) 307 - 346, 1 June 2011. https://doi.org/10.1215/00127094-1334022

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Published: 1 June 2011

First available in Project Euclid: 31 May 2011

zbMATH: 1221.53069

MathSciNet: MR2805071

Digital Object Identifier: 10.1215/00127094-1334022

Subjects:

Primary: 53C21

Secondary: 53C25 , 53C26

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