arXiv Analytics

Sign in

arXiv:math/0312419 [math.DG]AbstractReferencesReviewsResources

Asymptotic flatness of the Weil-Petersson metric on Teichmuller space

Zheng Huang

Published 2003-12-22Version 1

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.

Comments: 26 pages, to appear on Geometriae Dedicata
Categories: math.DG, math.CV
Subjects: 32G15, 53C21, 30F60
Related articles: Most relevant | Search more
arXiv:math/0703775 [math.DG] (Published 2007-03-27, updated 2010-05-13)
Average curvatures of Weil-Petersson geodesics in Teichmuller space
arXiv:0902.0203 [math.DG] (Published 2009-02-02)
The Weil-Petersson Hessian of Length on Teichmuller Space
arXiv:math/0405228 [math.DG] (Published 2004-05-12, updated 2004-05-19)
On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces

Links

Toolbox