Geodesic Bounds of Hyperbolic Link Complements in Hyperbolic 3-Manifold

2022/12/01 by Buddha Dev Ghosh, Ghosh, Buddha Dev
Engineering · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Sports Dynamics and Biomechanics

paper · pdf · doi:10.48550/arxiv.2212.00507

openalex publication_date 2022/12/01 · openalex created_date 2022/12/13 · openalex updated_date 2026/07/28

Abstract

Let M be a compact hyperbolic 3-manifold with volume V. Let L be a link such that M∖ L is hyperbolic. For any hyperbolic link L in M, in this article, we try to establish an upper bound of the length of n^th shortest closed geodesic of M∖ L in terms of V.

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