A mass for ALF manifolds

Vincent Minerbe (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We prove positive mass theorems on ALF manifolds, i.e. complete noncompact manifolds that are asymptotic to a circle fibration over a Euclidean base, with fibers of asymptotically constant length.

Mots clés: positive mass theorem; circle fibration

Domaines: Géométrie différentielle [math.DG]

Vincent Minerbe. A mass for ALF manifolds. Communications in Mathematical Physics, 2009, 289 (3), pp.925-955. ⟨hal-00265655v2⟩