Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds

• Autores: Xianzhe Dai, Guofang Wei
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 214, Nº 2, 2007, págs. 551-570
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.02.010
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• Resumen

  • We prove a Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds with specified 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.