A mass for asymptotically complex hyperbolic manifolds

Vincent Minerbe (1) , Daniel Maerten (1)

1 IMJ - Institut de Mathématiques de Jussieu

We prove a positive mass theorem for complete Kähler manifolds that are asymptotic to the complex hyperbolic space.

Mots clés: positive mass theorem; complex hyperbolic space

Domaines: Géométrie différentielle [math.DG]

Vincent Minerbe, Daniel Maerten. A mass for asymptotically complex hyperbolic manifolds. 2009. ⟨hal-00429306⟩