Asymptotic flatness of the Weil-Petersson metric on Teichmuller space

Details Asymptotic flatness of the Weil-Petersson metric on Teichmuller space Asymptotic flatness of the Weil-Petersson metric on Teichmuller space

2003-12-22

arxiv.org/abs/math/0312419v1

Mathematics

Differential Geometry

26 pages, to appear on Geometriae Dedicata

Scientific paper

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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