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

Andrew Haas; Perry Susskind

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arXiv · math/0611578

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

Andrew Haas·Perry Susskind

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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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Andrew Haas, Perry Susskind. 2006-11-19. The geometry at infinity of a hyperbolic Riemann surface of infinite type. https://arxiv.org/abs/math/0611578

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