Duke Mathematical Journal

A 7-manifold with positive curvature

Owen Dearricott

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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 $k=5$.

Article information

Source
Duke Math. J. Volume 158, Number 2 (2011), 307-346.

Dates
First available in Project Euclid: 31 May 2011

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1306847524

Digital Object Identifier
doi:10.1215/00127094-1334022

Zentralblatt MATH identifier
05917816

Mathematical Reviews number (MathSciNet)
MR2805071

Subjects
Primary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
Secondary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C26: Hyper-Kähler and quaternionic Kähler geometry, "special" geometry

Citation

Dearricott, Owen. A 7-manifold with positive curvature. Duke Math. J. 158 (2011), no. 2, 307--346. doi:10.1215/00127094-1334022. http://projecteuclid.org/euclid.dmj/1306847524.


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