The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces
arXiv:math/0603101
Abstract
On the thick part of the moduli space of Riemann surfaces, where there is a positive lower bound of the systole of the surface, we show that all Weil-Petersson Riemannian curvatures are bounded, independent of the genus of the surface.
11 pages, a missing reference is added