Minimal entropy rigidity for lattices in products of rank one symmetric spaces

2001/01/05 by Christopher Connell, Benson Farb, Connell, Christopher +1
Mathematics · #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Graph theory and applications #Mathematical Dynamics and Fractals #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0101045

arxiv created 2001/01/05 · openalex publication_date 2001/01/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove minimal entropy rigidity for complete, finite volume manifolds locally isometric to a product of rank one symmetric spaces of dimension at least 3: the locally symmetric metric uniquely minimizes (normalized) entropy among all Riemannian metrics. The corresponding theorem is true for maps into these spaces as well.

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