On some asymptotically flat manifolds with non maximal volume growth
Differential Geometry
2007-09-10 v1
Abstract
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.
Cite
@article{arxiv.0709.1084,
title = {On some asymptotically flat manifolds with non maximal volume growth},
author = {Vincent Minerbe},
journal= {arXiv preprint arXiv:0709.1084},
year = {2007}
}