2 problems

Let $S^{3}\setminus K$ be the complement of a hyperbolic knot $K$ in $S^{3}$. A closed embedded totally geodesic surface is a closed totally geodesic surface embedded in this hyper…

Let $M$ be a closed orientable $3$-manifold. A TGS link is a link $K$ embedded in a $3$-manifold such that $M\setminus K$ is hyperbolic and $K$ has at least one totally geodesic sp…