Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds

Details Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds

2006-12-04

arxiv.org/abs/math/0612105v1

Mathematics

Differential Geometry

17 pages

Scientific paper

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.

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