Abstract
In this paper we construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of $S^2 \times S^3$. 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.
Citation
J. Kollár. "Einstein metrics on connected sums of $S^2 \times S^3$." J. Differential Geom. 75 (2) 259 - 272, February 2007. https://doi.org/10.4310/jdg/1175266266
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