Asymptotic flatness of the Weil-Petersson metric on Teichmuller space

Zheng Huang

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Asymptotic flatness of the Weil-Petersson metric on Teichmuller space

Zheng Huang

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Abstract

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 any negative constants, i.e., there is no negative upper bound.

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Zheng Huang. 2003-12-22. Asymptotic flatness of the Weil-Petersson metric on Teichmuller space. https://arxiv.org/abs/math/0312419

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