Long time behaviour of Ricci flow on open 3-manifolds
  We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact $3$-manifold of finite volume whose universal cover has bounded geometry. As an application, we give a Ricci flow proof of Thurston's hyperbolisation theorem for $3$-manifolds with toral boundary that generalizes Perelman's proof of the hyperbolisation conjecture in the closed case. 
Laurent Bessi\`eres (IMB), G\'erard Besson (IF), Sylvain Maillot (I3M)
math.DG