Toric selfdual Einstein metrics on compact orbifolds

Simple item page
dc.creatorCalderbank, David M. J.
dc.creatorSinger, Michael A.
dc.date2004-05-02
dc.date2005-02-08
dc.date.accessioned2026-07-07T06:29:38Z
dc.date.available2026-07-07T06:29:38Z
dc.descriptionWe 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.
dc.description14 pages; substantially revised with the addition of a new classification result and some missing details in the proofs
dc.identifierhttps://arxiv.org/abs/math/0405020
dc.identifierhttp://arxiv.org/abs/math/0405020
dc.identifierDuke Math. J. 133 (2006) 237-258.
dc.identifierdoi:10.1215/S0012-7094-06-13322-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98102
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C25
dc.titleToric selfdual Einstein metrics on compact orbifolds
dc.typetext

Files

Collections

arXiv