Minimal entropy for uniform lattices in PSL₂(ℝ)ⁿ

2014/06/17 by Louis Merlin, Merlin, Louis
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1406.4428

openalex publication_date 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that, among metrics on a compact quotient of (ℍ²)ⁿ (product of hyperbolic planes) of prescribed total volume, the product of hyperbolic metrics has minimal volume entropy.

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