Entropy of embedded surfaces in quasi-fuchsian manifolds

Olivier Glorieux

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arXiv · 1510.03246

Entropy of embedded surfaces in quasi-fuchsian manifolds

Olivier Glorieux

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Abstract

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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Olivier Glorieux. 2015-10-12. Entropy of embedded surfaces in quasi-fuchsian manifolds. https://arxiv.org/abs/1510.03246

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