Measured foliations at infinity and constant mean curvature surface in quasi-Fuchsian manifolds close to the Fuchsian locus

Diptaishik Choudhury

Given an orientied, closed hyperbolic surface $S$, we study quasi-Fuchsian hyperbolic manifolds homeomorphic to $S\times \mathbb{R}$. We study two questions regarding them: one is…