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

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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.
7 pages

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Differential Geometry, 53C25, 53C12, 14E30

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http://salesiana.dossiersoluciones.com/handle/123456789/64781

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208202
 http://arxiv.org/abs/math/0208202
 Diff. Geom. and Its Applications 19 (2003), 245-251.

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arXiv