# 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.
3 Citations

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