Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces

Diptaishik Choudhury, Filippo Mazzoli, Andrea Seppi

Even though it is known that there exist quasi-Fuchsian hyperbolic three-manifolds that do not admit any monotone foliation by constant mean curvature (CMC) surfaces, a conjecture…