Asymptotic flatness of the Weil-Petersson metric on Teichmuller space
arXiv:math/0312419
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.
26 pages, to appear on Geometriae Dedicata