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math.DG2006
Asymptotics of the Gaussian Curvatures of the Canonical Metric on the Surface
Zheng Huang
We study the canonical metric on a compact Riemann surface of genus at least two. While it is known that the canonical metric is of nonpositive curvature, we show that its Gaussian…
math.DG2006
The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces
Zheng Huang
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 curvature…