Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds

2006/02/17 by Sergei Matveev, Matveev, Sergei, Carlo Petronio +3 · 1 citation
Mathematics · #57M27 #57M50 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.math/0602372

openalex publication_date 2006/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish two-sided bounds for the complexity of two infinite series of closed orientable 3-dimensional hyperbolic manifolds, the Lobell manifolds and the Fibonacci manifolds.

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