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A note on maximal lattice growth in SO(1,n)

2011/12/12 by Jean Raimbault, Raimbault, Jean · 1 citation
Mathematics · #22E40 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.GT #msc:22E40

paper · pdf · doi:10.48550/arxiv.1112.2484

6 pages

arxiv created 2011/12/12 · openalex publication_date 2011/12/12 · arxiv updated 2011/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the number of noncommensurable lattices, hence also that of maximal lattices in SO(1,n) is at least exponential. To do so we construct large families of noncommensurable hybrid hyperbolic (Gromov/Piatetski-Shapiro) manifolds.

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