Quasiconformal structures and the metrization of 2-manifolds
Quasiconformal structures and the metrization of 2-manifolds
1. Introduction.There are many conditions that one may impose on a 2manifold that are equivalent to metrizability.The first definitions of a Riemann surface included as a hypothesis that there was a triangulation of the manifold.In 1925, Rado [15] proved that the presence of a complex-analytic structure on a 2-manifold implies …