New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kahler manifolds

We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein-Kahler spaces K-2n, for all n greater than or equal to 1 and all m greater than or equal to 1. We also obtain complete, compact, inhomogeneous Einstein metrics on warped products of S-m with S-2 bundles over K-2n, for m > 1. Additionally, we construct new complete, non-compact Ricci-flat metrics with topologies S-m times R-2 bundles over K-2n that generalise the higher-dimensional Taub-BOLT metrics, and with topologies S-m x R2n+2 that generalise the higher-dimensional Taub-NUT metrics, again for m > 1. (C) 2004 Published by Elsevier B.V.