On some asymptotically flat manifolds with non maximal volume growth.

Vincent Minerbe (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Domaines: Géométrie différentielle [math.DG]

Vincent Minerbe. On some asymptotically flat manifolds with non maximal volume growth.. 2007. ⟨hal-00170361⟩