A Cantor set with hyperbolic complement

2012/05/21 by Juan Souto, Souto, Juan, Matthew Stover +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Quantum chaos and dynamical systems #math.GT #math.MG

paper · pdf · doi:10.48550/arxiv.1205.4668

arxiv created 2012/05/21 · openalex publication_date 2012/05/21 · arxiv updated 2012/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a Cantor set in S³ whose complement admits a complete hyperbolic metric.

Citations

• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

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