Simple closed geodesics in cusped hyperbolic 3-manifolds

2021/10/27 by Feihuang Xia, Xia, Feihuang
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2110.14376

openalex publication_date 2021/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that cusped finite-volume hyperbolic 3-manifolds contain infinitely many simple closed geodesics.

Related

• Simple Closed Geodesics in Hyperbolic 3-Manifolds
• Short closed geodesics on cusped hyperbolic surfaces
• Arithmeticity of hyperbolic 3-manifolds containing infinitely many\n totally geodesic surfaces
• Systoles of hyperbolic 4-manifolds
• Similar fillings and isolation of cusps of hyperbolic 3-manifolds