arXiv Analytics

Sign in

arXiv:math/0405228 [math.DG]AbstractReferencesReviewsResources

On Asymptotic Weil-Petersson Geometry of Teichmüller Space of Riemann Surfaces

Zheng Huang

Published 2004-05-12, updated 2004-05-19Version 2

In this paper, we study the asymptotic geometry of Teichmuller space of Riemann surfaces and give bounds on the Weil-Petersson sectional curvature of Teichmuller space, in terms of the length of the shortest geodesic on the surface. This will also imply that the sectional curvature is not pinched from above or below by any negative constant.

Comments: 38 pages, minor revision
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:math/0312419 [math.DG] (Published 2003-12-22)
Asymptotic flatness of the Weil-Petersson metric on Teichmuller space
arXiv:0909.2426 [math.DG] (Published 2009-09-13, updated 2010-03-19)
Quasi-Fuchsian 3-Manifolds and Metrics on Teichmüller Space

Links

Toolbox