Abstract
In this thesis, we investigate the asymptotic geometric properties a class of complete and non compact Kähler manifolds we call asymptotically locally complex hyperbolic manifolds.The local geometry at infinity of such a manifold is modeled on that of the complex hyperbolic space, in the sense that its curvature is asymptotic to that of the model space.Under natural geometric assumptions, we show that this constraint on the curvature ensures the existence of a rich geometry at infinity: we can endow it with a strictly pseudoconvex CR boundary at infinity.