Comparing hyperbolic and extremal lengths for shortest curves
Dídac Martínez-Granado, Franco Vargas Pallete
Published: 2019/11/20
Abstract
We give a lower bound for the widths of the collars of certain short partial pants decomposition of the surface. Then we apply this to obtain upper bounds of the renormalized volume of certain Schottky manifolds in terms of the hyperbolic length of compressible curves.