Einstein metrics on quaternionic line bundles

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Published under licence by IOP Publishing Ltd
, , Citation D N Page and C N Pope 1986 Class. Quantum Grav. 3 249 DOI 10.1088/0264-9381/3/2/018

0264-9381/3/2/249

Abstract

The authors investigate the Einstein equation for a class of (4n+4)-dimensional SU(2)-invariant metrics on S4 and R4 fibre bundles over quaternionic Kahler base manifolds. Using numerical techniques, they establish the existence of complete compact inhomogeneous Einstein spaces of this form with positive Ricci curvature, and complete non-compact inhomogeneous Einstein spaces with zero or negative Ricci curvature.

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10.1088/0264-9381/3/2/018