On Extremal Riemann Surfaces and Their Uniformizing Fuchsian Groups

@inproceedings{Girondo2002OnER,
  title={On Extremal Riemann Surfaces and Their Uniformizing Fuchsian Groups},
  author={Ernesto Girondo and GABINO GONZ{\'A}LEZ-DIEZ},
  year={2002}
}
Compact hyperbolic surfaces of given genus g containing discs of the maximum radius have been studied from various points of view. In this paper we connect these different approaches and observe some properties of the Fuchsian groups uniformizing both compact and punctured extremal surfaces. We also show that extremal surfaces of genera g = 2, 3 may contain… CONTINUE READING