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Dynamics and geometry of the Weil Petersson metric

Presenter
April 17, 2015
MSRI
Keywords:
  • Teichmuller theory
  • hyperbolic manifold
  • hyperbolic geometry
  • Weil-Petersson metric
  • geodesic flow
  • circle bundle
MSC:
  • 37F30
  • 37Fxx
  • 37-xx
  • 32G15
  • 32G08
  • 32G13
  • 32Gxx
  • 37D40
  • 37Dxx
Dynamics and geometry of the Weil Petersson metric Thumbnail
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Abstract
We exhibit some dynamical properties of the Weil-Petersson geodesic flow. As an application, we obtain geometric information on random hyperbolic 3-manifolds which fibre over the circle.
Abstract