The geometry at infinity of a hyperbolic Riemann surface of infinite type
Geometric Topology
2008-06-30 v1 Complex Variables
Abstract
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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Cite
@article{arxiv.math/0611578,
title = {The geometry at infinity of a hyperbolic Riemann surface of infinite type},
author = {Andrew Haas and Perry Susskind},
journal= {arXiv preprint arXiv:math/0611578},
year = {2008}
}
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32 pages