New lower bound for the distortion of a knotted curve

2006/12/18 by T. Bereznyak, Bereznyak, T., P. Svetlov +1
Engineering · #57M25 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Manufacturing Process and Optimization #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.math/0612472

openalex publication_date 2006/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that distortion of a knotted curve in \R³ is great than 4.76. This improves a result obtained by John M. Sullivan and Elizabeth Denne in \citeDS.

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