3 papers
math.GT2023
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 , we study quasi-Fuchsian hyperbolic manifolds homeomorphic to . We study two questions regarding them: one is…
math.DG2022
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…
math.GT2021
Measured foliations at infinity of quasi-Fuchsian manifolds close to the Fuchsian locus
Diptaishik Choudhury
Measured foliations at infinity of quasi-Fuchsian manifolds are a natural analog at infinity to the measured bending laminations on the boundary of its convex core. We show that gi…