Prefer a chat interface with context about you and your work?
On Teichmüller metric and the length spectrums of topologically infinite Riemann surfaces
We consider a metric dL on the Teichmüller space T(R0) defined by the length spectrum of Riemann surfaces. H. Shiga proved that dL defines the same topology as that of the Teichmüller metric dT on T(R0) if a Riemann surface R0 can be decomposed into pairs of pants such that …