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arXiv · 1907.04456

An affine model of a Riemann surface associated to a Schwarz-Christoffel mapping

Richard Cushman
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Abstract

In this paper we construct an affine model of a Riemann surface with a flat Riemannian metric associated to a Schwarz-Christoffel mapping of the upper half plane onto a rational triangle. We explain the relation between the geodesics on this Riemann surface and billiard motions in a regular stellated $n$-gon in the complex plane.

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Richard Cushman. 2019-07-09. An affine model of a Riemann surface associated to a Schwarz-Christoffel mapping. https://arxiv.org/abs/1907.04456

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