Teichmüller extremal maps on infinite Riemann surfaces

Dragomir Šarić

doi:10.54330/afm.178987

Teichmüller extremal maps on infinite Riemann surfaces

Authors

Dragomir Šarić Institute for Advanced Study, and CUNY, The Graduate Center, PhD Program in Mathematics, and CUNY, Queens College, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.178987

Keywords:

Teichmüller maps, the heights map, infinite Riemann surface

Abstract

Let \(X=\mathbb{D}/\Gamma\) be a Riemann surface with \(\Gamma\) of the first kind. We establish a necessary and sufficient criterion for \([f]\in T(X)\) to have a Teichmüller-type extremal map.