New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kahler manifolds Academic Article uri icon


  • We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein-Khler spaces K2n, for all n1 and all m1. We also obtain complete, compact, inhomogeneous Einstein metrics on warped products of Sm with S 2 bundles over K2n, for m>1. Additionally, we construct new complete, non-compact Ricci-flat metrics with topologies Sm times R2 bundles over K2n that generalise the higher-dimensional Taub-BOLT metrics, and with topologies Sm R2n+2 that generalise the higher-dimensional Taub-NUT metrics, again for m>1. 2004 Published by Elsevier B.V.

published proceedings


author list (cited authors)

  • Lu, H., Page, D. N., & Pope, C. N.

citation count

  • 48

publication date

  • July 2004