Title: Bounded Projective Functions and Hyperbolic Metrics with Isolated Singularities,
Abstract: We establish a correspondence on a Riemann surface between hyperbolic metrics
with isolated singularities and bounded projective functions whose Schwarzian
derivatives have at most double poles and whose monodromies lie in ${\rm
PSU}(1,\,1)$. As an application, we construct explicitly a new class of
hyperbolic metrics with countably many singularities on the unit disc.