Abstract:
The Grötzsch and Teichmüller well-known extremal problems for the moduli of plane doubly connected domains are extended to the case of domains on Riemann surfaces.
Keywords:
Grötzsch ring, Teichmüller ring, Riemann surface, modulus of a doubly connected domain, condenser, condenser capacity.
Citation:
V. N. Dubinin, “The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface”, Mat. Zametki, 92:6 (2012), 834–843; Math. Notes, 93:1 (2013), 50–57