Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds |
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Authors: | Xianzhe Dai |
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Institution: | Department of Mathematics, UCSB, Santa Barbara, CA 93106, USA |
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Abstract: | 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. |
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Keywords: | Einstein manifold Asymptotic geometry Hitchin-Thorpe inequality |
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