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Einstein Metrics on Rational Homology Spheres

Charles P. Boyer·Krzysztof Galicki
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Abstract

We prove the existence of Sasakian-Einstein metrics on infinitely many rational homology spheres in all odd dimensions greater than 3. In dimension 5 we obain somewhat sharper results. There are examples where the number of effective parameters in the Einstein metric grows exponentially with dimension.

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Charles P. Boyer, Krzysztof Galicki. 2003-11-20. Einstein Metrics on Rational Homology Spheres. https://arxiv.org/abs/math/0311355

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