Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space ${\overline{\mathcal{M}}}_g$

Abstract

We give a precise estimate for the average scalar curvature of the Weil-Petersson metric on the moduli space ${\overline{\mathcal{M}}}_g$ as $g\to \infty$ up to the order $1/g^2$.

References in corpus (3)

• The Riemannian Sectional Curvature Operator Of The Weil-Petersson Metric and Its Application
• Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
• Uniform Bounds for Weil-Petersson Curvatures