Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds

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We prove a Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds with asymptotic geometry at infinity. The asymptotic geometry at infinity is either a cusp bundle over a compact space (the fibered cusps) or a fiber bundle over a cone with a compact fiber (the fibered boundary). Many noncompact Einstein manifolds come with such a geometry at infinity.
17 pages

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Differential Geometry, 53C

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http://salesiana.dossiersoluciones.com/handle/123456789/119837

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612105
 http://arxiv.org/abs/math/0612105

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arXiv