Mathematics – Differential Geometry
Scientific paper
2003-11-10
Commun.Math.Phys. 253 (2004) 337-370
Mathematics
Differential Geometry
30 pages
Scientific paper
We use the quaternion Kahler reduction technique to study old and new self-dual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and relate the quotient construction to the hyperbolic eigenfunction Ansatz. We focus in particular on the (semi-)quaternion Kahler quotients of (semi-)quaternion Kahler hyperboloids, analysing the completeness and topology, and relating them to the self-dual Einstein Hermitian metrics of Apostolov-Gauduchon and Bryant.
Boyer Charles P.
Calderbank David M. J.
Galicki Krzysztof
Piccinni Paolo
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