Einstein metrics on connected sums of $S^2\times S^3$

János Kollár

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Einstein metrics on connected sums of $S^2\times S^3$

János Kollár

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Abstract

The aim of this paper is to 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.

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János Kollár. 2004-02-09. Einstein metrics on connected sums of $S^2\times S^3$. https://arxiv.org/abs/math/0402141

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