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arxiv: math/0208202 · v1 · submitted 2002-08-26 · 🧮 math.DG

New Einstein Metrics on 8#(S² times S³)

classification 🧮 math.DG
keywords metricsnon-regularsasakian-einsteintimesadmitscomplexdimensionaleinstein
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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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