Toric selfdual Einstein metrics on compact orbifolds
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
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 . We also obtain a topological classification in terms of the intersection form of the 4-orbifold.
Cite
@article{arxiv.math/0405020,
title = {Toric selfdual Einstein metrics on compact orbifolds},
author = {David M. J. Calderbank and Michael A. Singer},
journal= {arXiv preprint arXiv:math/0405020},
year = {2007}
}
Comments
14 pages; substantially revised with the addition of a new classification result and some missing details in the proofs