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September 2007 On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces
Zheng Huang
Asian J. Math. 11(3): 459-484 (September 2007).

Abstract

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

Citation

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Zheng Huang. "On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces." Asian J. Math. 11 (3) 459 - 484, September 2007.

Information

Published: September 2007
First available in Project Euclid: 24 January 2008

zbMATH: 1137.53009
MathSciNet: MR2372726

Subjects:
Primary: 30F60 , 30F60 , 32G15

Keywords: curvature , Harmonic Maps , Riemann surfaces , The Weil-Petersson metric

Rights: Copyright © 2007 International Press of Boston

Vol.11 • No. 3 • September 2007
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