An Affine Model of a Riemann Surface Associated to a Schwarz–Christoffel Mapping

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 stellat...

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Bibliographic Details
Main Author: Richard Cushman
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/2/49