# 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} }

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.

## 3 Citations

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