Asymptotic flatness of the Weil-Petersson metric on Teichmuller space
Abstract
Description
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
26 pages, to appear on Geometriae Dedicata