On the Scalar Curvature of Einstein Manifolds

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We show that there are high-dimensional smooth compact manifolds which admit pairs of Einstein metrics for which the scalar curvatures have opposite signs. These are counter-examples to a conjecture considered by Besse. The proof hinges on showing that the Barlow surface has small deformations with ample canonical line bundle.
LaTeX. 14 pages

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152243

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9705007
 http://arxiv.org/abs/dg-ga/9705007

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arXiv