The geometry at infinity of a hyperbolic Riemann surface of infinite type

Details The geometry at infinity of a hyperbolic Riemann surface of infinite type The geometry at infinity of a hyperbolic Riemann surface of infinite type

2006-11-19

arxiv.org/abs/math/0611578v1

Geom. Dedicata 130 (2007), 1--24.

Mathematics

Geometric Topology

32 pages

Scientific paper

We study geodesics on a planar Riemann surface of infinite type having a
single infinite end. Of particular interest is the class of geodesics that go
out the infinite end in a most efficient manner. We investigate properties of
these geodesics and relate them to the structure of the boundary of a Dirichlet
polygon for a Fuchsian group representing the surface.

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