Toric selfdual Einstein metrics on compact orbifolds

Details Toric selfdual Einstein metrics on compact orbifolds Toric selfdual Einstein metrics on compact orbifolds

2004-05-02

arxiv.org/abs/math/0405020v2

Duke Math. J. 133 (2006) 237-258.

Mathematics

Differential Geometry

14 pages; substantially revised with the addition of a new classification result and some missing details in the proofs

Scientific paper

10.1215/S0012-7094-06-13322-7

We prove that any compact selfdual Einstein 4-orbifold of positive scalar
curvature whose isometry group contains a 2-torus is, up to an orbifold
covering, a quaternion Kaehler 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.

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