25 citations · 54 across the 6 of their papers we have counts for
6 papers
Open 3-manifolds which are connected sums of closed ones
Laurent Bessières, Gérard Besson, Sylvain Maillot
We consider open, oriented 3-manifolds which are infinite connected sums of closed 3-manifolds. We introduce some topological invariants for these manifolds and obtain a classifica…
Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Laurent Bessières, Gérard Besson, Sylvain Maillot +1
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This genera…
Long time behaviour of Ricci flow on open 3-manifolds
Laurent Bessières, Gérard Besson, Sylvain Maillot
We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact -manifold of finite volume whose universal cover has bounded geometry. As an applicatio…
Ricci flow on open 3-manifolds and positive scalar curvature
Laurent Bessières, Gérard Besson, Sylvain Maillot
We show that an orientable 3-dimensional manifold M admits a complete riemannian metric of bounded geometry and uniformly pos- itive scalar curvature if and only if there exists a…
Differentiable Rigidity under Ricci curvature lower bound
Laurent Bessières, Gérard Besson, Gilles Courtois +1
In this article we prove a differentiable rigidity result. Let and be two closed -dimensional Riemannian manifolds () and be a conti…
Weak collapsing and geometrisation of aspherical 3-manifolds
Laurent Bessières, Gérard Besson, Michel Boileau +2
Let M be a closed, orientable, irreducible, non-simply connected 3-manifold. We prove that if M admits a sequence of Riemannian metrics whose sectional curvature is locally control…