Precompactness for homogeneous Einstein metrics on torus bundles

Abstract

We prove a precompactness result for homogeneous Einstein metrics on the set of homogeneous torus bundles over a common base. This set can contain infinite families of compact simply connected homogeneous torus bundles over a common simply connected base with toral fibres of fixed dimension.

13 pages. Improved exposition, provided further details, added references. Comments welcome