The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces

Details The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces

2006-03-03

arxiv.org/abs/math/0603101v2

Mathematics

Differential Geometry

11 pages, a missing reference is added

Scientific paper

On the thick part of the moduli space of Riemann surfaces, where there is a
positive lower bound of the systole of the surface, we show that all
Weil-Petersson Riemannian curvatures are bounded, independent of the genus of
the surface.

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