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New Einstein Metrics on 8#(S^2 times S^3)

Charles P. Boyer·Krzysztof Galicki
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Abstract

We show that #8(S^2 times S^3) admits two 8-dimensional complex families of inequivalent non-regular Sasakian-Einstein structures. These are the first known non-regular Sasakian-Einstein metrics on this 5-manifold.

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Charles P. Boyer, Krzysztof Galicki. 2002-08-26. New Einstein Metrics on 8#(S^2 times S^3). https://arxiv.org/abs/math/0208202

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