On some asymptotically flat manifolds with non maximal volume growth

Details On some asymptotically flat manifolds with non maximal volume growth On some asymptotically flat manifolds with non maximal volume growth

2007-09-07

arxiv.org/abs/0709.1084v1

Mathematics

Differential Geometry

Scientific paper

Asymptotically flat manifolds with Euclidean volume growth are known to be
ALE. In this paper, we consider a class of asymptotically flat manifolds with
slower volume growth and prove that their asymptotic geometry is that of a
fibration over an ALE manifold. In particular, we show that gravitational
instantons with cubic volume growth are ALF.

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