2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174632We show a few propositions in favour of relations between the phase space of 3D gravity, moduli of quasi-Fuchsian groups, global solutions of cosh-Gordon equations and minimal surfaces in hyperbolic spaces.Differential GeometryMathematical Physics83C80, 53Z05Cosh-Gordon equation and quasi-Fuchsian groupstext