4-Manifolds without Einstein Metrics

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It is shown that there are infinitely many compact orientable smooth 4-manifolds which do not admit Einstein metrics, but nevertheless satisfy the strict Hitchin-Thorpe inequality 2 chi > 3 |tau|. The examples in question arise as non-minimal complex algebraic surfaces of general type, and the method of proof stems from Seiberg-Witten theory.
9 pages, latex, with \Bbb font redefined for WWW use

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/147609

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9511015
 http://arxiv.org/abs/dg-ga/9511015

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arXiv