Minimal entropy for uniform lattices in PSL $_2(\mathbb{R})^n$

preprint2014arXivOpen access

We prove that, among metrics on a compact quotient of $\left(\mathbb{H}^2\right)^n$ (product of hyperbolic planes) of prescribed total volume, the product of hyperbolic metrics has minimal volume entropy.

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Minimal entropy for uniform lattices in PSL $_2(\mathbb{R})^n$

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Minimal entropy for uniform lattices in PSL2(R)n_2(\mathbb{R})^n2​(R)n

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Minimal entropy for uniform lattices in PSL $_2(\mathbb{R})^n$