The presented work is a research in the field of the geometry of two-dimensional hyperbolic (equipped with a metric of constant negative curvature) manifolds. In this survey article we gather resent results of the global ...

Let M be a complete hyperbolic surface of genus g, with k punctures and n boundary geodesics. In this paper we investigate typical behavior of geodesics for some hyperbolic 2-manifolds, and discuss some extension of those ...