The Bers–Sullivan–Thurston density conjecture for hyperbolic 3-manifolds

Let $M$ be a complete hyperbolic $3$-manifold with finitely generated fundamental group. A hyperbolic $3$-manifold is geometrically finite if its associated Kleinian group is geometrically finite. Bers–Sullivan–Thurston density conjecture. $M$ is a limit of geometrically finite hyperbolic $3$-manifolds. The paper proves the conjecture for complete hyperbolic $3$-manifolds with no cusps and incompressible ends; the general case stated here remains open.