Dehn filling and Einstein metrics in higher dimensions

Details Dehn filling and Einstein metrics in higher dimensions Dehn filling and Einstein metrics in higher dimensions

2003-03-20

arxiv.org/abs/math/0303260v5

J.Diff.Geom. 73 (2006) 219-261

Mathematics

Differential Geometry

29pp. Original result (from v1) restored

Scientific paper

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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