An affine model of a Riemann surface associated to a Schwarz-Christoffel mapping
Complex Variables
2021-01-29 v2 Dynamical Systems
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 -gon in the complex plane.
Cite
@article{arxiv.1907.04456,
title = {An affine model of a Riemann surface associated to a Schwarz-Christoffel mapping},
author = {Richard Cushman},
journal= {arXiv preprint arXiv:1907.04456},
year = {2021}
}