  In this paper, we generalize Bonahon's characterization of geometrically
infinite torsion-free discrete subgroups of PSL(2, $\mathbb{C}$) to
geometrically infinite discrete subgroups $\Gamma$ of isometries of negatively
pinched Hadamard manifolds $X$. We then generalize a theorem of Bishop to prove
that every discrete geometrically infinite isometry subgroup $\Gamma$ has a set
of nonconical limit points with the cardinality of the continuum.
