3 papers
math.DG2005
Caculus of Variation and the -Bergman Metric on Teichmüller Space
Zheng Huang
The canonical metric on a Riemann surface is the pullback from the Euclidean metric on the Jacobian variety via the period map. We study its induced L^2 metric on Teichmuller space…
math.DG2004
On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces
Zheng Huang
In this paper, we study the asymptotic geometry of Teichmuller space of Riemann surfaces and give bounds on the Weil-Petersson sectional curvature of Teichmuller space, in terms of…
math.DG2003
Asymptotic flatness of the Weil-Petersson metric on Teichmuller space
Zheng Huang
The sectional curvature of the Weil-Petersson metric on Teichmuller space is known to be negative. We show that this Weil-Petersson sectional curvature is not pinched from above by…