Biholomorphic maps between Teichmüller spaces
Biholomorphic maps between Teichmüller spaces
In this paper we study biholomorphic maps between Teichmüller spaces and the induced linear isometries between the corresponding tangent spaces. The first main result in this paper is the following classification theorem. If $M$ and $N$ are two Riemann surfaces that are not of exceptional type, and if there exists …