Einstein Metrics on Rational Homology Spheres

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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.
8 pages

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Differential Geometry, High Energy Physics - Theory, Algebraic Geometry, 53C20,53C12,14E30

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http://salesiana.dossiersoluciones.com/handle/123456789/207964

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311355
 http://arxiv.org/abs/math/0311355
 J.Diff.Geom.74:353-362,2006

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arXiv