Asian Journal of Mathematics

Volume 11 (2007)

Number 3

On Asymptotic Weil-Petersson Geometry of Teichmuller Space of Riemann Surfaces

Pages: 459 – 484

DOI: http://dx.doi.org/10.4310/AJM.2007.v11.n3.a5

Author

Zheng Huang

Abstract

We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teichm¨uller space. We use a pointwise curvature estimate to study directions, in the tangent space, of extremely negative curvature and directions of asymptotically zero curvatures.

Keywords

The Weil-Petersson metric; Curvature; Harmonic maps; Riemann surfaces

2010 Mathematics Subject Classification

30F60, 32G15

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