Minima of geodesic length functions for non-uniform filling systems

Subash Chandra Behera, Shiv Parsad

Kerckhoff proved that the geodesic length function ${\ell }_{\Omega }$ of a filling $\Omega$ on $S_g$ attains a unique minimum in Teichmüller space. Recent work of Ernesto Girondo et al. computed…