This paper focuses on the problem of global behavior of straight lines, or „geodesics” on a hyperbolic two-manifold, or surface. JEL CLASSIFICATION: 53 C 22; 57 R 42

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 ...