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

Mathematics – Differential Geometry

Scientific paper

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7 pages

Scientific paper

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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