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Toric selfdual Einstein metrics on compact orbifolds

Calderbank, D.M.J. and Singer, M.A. (2006) Toric selfdual Einstein metrics on compact orbifolds. Duke Mathematical Journal, 133 (2). pp. 237-258. ISSN 0012-7094

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Abstract

We prove that any compact self-dual Einstein $4$-orbifold of positive scalar curvature whose isometry group contains a $2$-torus is, up to an orbifold covering, a quaternion Kähler quotient of $(k-1)$-dimensional quaternionic projective space by a $(k-2)$-torus for some $k\geq 2$. We also obtain a topological classification in terms of the intersection form of the $4$-orbifold

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 11 Jun 2009 15:37
Last Modified: 11 Jun 2009 15:37
Published Version: http://dx.doi.org/10.1215/S0012-7094-06-13322-7
Status: Published
Publisher: Duke University Press
Identification Number: 10.1215/S0012-7094-06-13322-7
URI: http://eprints.whiterose.ac.uk/id/eprint/5951

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