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

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

2004-05-12

arxiv.org/abs/math/0405228v2

Mathematics

Differential Geometry

38 pages, minor revision

Scientific paper

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.

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