Immersed Turnovers In Hyperbolic 3-Orbifolds

Pants immersed in hyperbolic 3-manifolds

“…This conjecture seems feasible at least when the target manifold is hyperbolic, and the main result in this paper proves this conjecture for immersions of pants. Rafalski has shown the analogue of this conjecture for turnovers immersed in hyperbolic 3-orbifolds [12].…”

“…For turnovers immersed in hyperbolic 3-orbifolds, G. Martin showed that a (2, 3, p)-triangle group, p ≥ 7, in a hyperbolic 3-orbifold is embedded [10]. However, there are other triangle groups which are immersed in 3-orbifolds, see [9,12].…”