Entropy of embedded surfaces in quasi-fuchsian manifolds

@article{Glorieux2015EntropyOE,
  title={Entropy of embedded surfaces in quasi-fuchsian manifolds},
  author={Olivier Glorieux},
  journal={arXiv: Differential Geometry},
  year={2015}
}
  • Olivier Glorieux
  • Published 12 October 2015
  • Mathematics
  • arXiv: Differential Geometry
We compare critical exponent for quasi-Fuchsian groups acting on the hyperbolic 3-space, $\mathbb{H}^3$, and on invariant disks embedded in $\mathbb{H}^3$. We give a rigidity theorem for all embedded surfaces when the action is Fuchsian and a rigidity theorem for negatively curved surfaces when the action is quasi-Fuchsian. 

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