Minimizing immersions of a hyperbolic surface in a hyperbolic $3$-manifold

Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker

Let $(S,h)$ be a closed hyperbolic surface and $M$ be a quasi-Fuchsian 3-manifold. We consider incompressible maps from $S$ to $M$ that are critical points of an energy functional…