Extremal Sasakian horizons

We point out a simple construction of an infinite class of Einstein near-horizon geometries in all odd dimensions greater than five. Cross-sections of the horizons are inhomogeneous Sasakian metrics (but not Einstein) on S^3xS^2 and more generally on Lens space bundles over any compact positive Kaehler-Einstein manifold. They are all consistent with the known topology and symmetry constraints for asymptotically flat or globally AdS black holes.
Comment: 10 pages, Latex. v2: corrected minor error, results unaffected; minor improvements. v3: improved and clarified global analysis and topology (updated since published version)