JournalscmhVol. 91, No. 1pp. 107–129

Minimal entropy for uniform lattices in product of hyperbolic planes

  • Louis Merlin

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
Minimal entropy for uniform lattices in product of hyperbolic planes cover

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Abstract

Let MM be a quotient of H2××H2\mathbb{H}^2 \times \cdots \times \mathbb{H}^2 (product of hyperbolic planes) by a uniform lattice of (PSL2(R))n(\mathrm {PSL}_2(\mathbb{R}))^n. We prove that, among metrics of MM of prescribed volume, the sum of hyperbolic metrics has minimal volume entropy.

Cite this article

Louis Merlin, Minimal entropy for uniform lattices in product of hyperbolic planes. Comment. Math. Helv. 91 (2016), no. 1, pp. 107–129

DOI 10.4171/CMH/379