Horospheres in degenerate 3-manifolds

2016/06/23 by Cyril Lecuire, Mahan Mj, Lecuire, Cyril +1
Computer Science · Mathematics · #30F40 #57M50 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1606.07185

openalex publication_date 2016/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study horospheres in hyperbolic 3-manifolds M all whose ends are\ndegenerate. Towards this, we study which almost minimizing geodesics in M go\nthrough arbitrarily thin parts.\n

Related

• Planes in degenerate 3-manifolds
• Closed, negatively curved Riemannian manifolds with a flat horosphere are hyperbolic
• On Horospherical Rigidity
• Asymptotically harmonic manifolds of dimension 3 with minimal horospheres
• Simple Closed Geodesics in Hyperbolic 3-Manifolds