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Dehn filling and Einstein metrics in higher dimensions

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arxiv math/0303260 v5 pith:XOYVC2I7 submitted 2003-03-20 math.DG gr-qc

classification math.DGgr-qc
keywords einsteinmetricsdehnmanifoldscompactdimensiondimensionsfamilies
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We prove that many features of Thurston's Dehn surgery theory for hyperbolic 3-manifolds generalize to Einstein metrics in any dimension. In particular, this gives large, infinite families of new Einstein metrics on compact manifolds.

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