Einstein metrics on connected sums of S² × S³

In this paper we construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of S² × S³. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A Kähler–Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi–Boyer–Galicki method.