The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance

@article{Mazzoli2019TheDV,
  title={The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance},
  author={Filippo Mazzoli},
  journal={arXiv: Differential Geometry},
  year={2019}
}
  • Filippo Mazzoli
  • Published 10 July 2019
  • Mathematics
  • arXiv: Differential Geometry
Making use of the dual Bonahon-Schlafli formula, we prove that the dual volume of the convex core of a quasi-Fuchsian manifold $M$ is bounded by an explicit constant, depending only on the topology of $M$, times the Weil-Petersson distance between the hyperbolic structures on the upper and lower boundary components of the convex core of $M$. 

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