T. Bereznyak, P. V. Svetlov, “A lower bound for the distortion of a knotted curve”, Zap. Nauchn. Sem. POMI, 2008, Volume 353,Pages <nobr>5

A lower bound for the distortion of a knotted curve

T. Bereznyak^a, P. V. Svetlov^b

^a Saint-Petersburg State University
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: We prove that the distortion of any knotted curve in $\mathbb R^3$ is greater than 4.76. This improves the result by John M. Sullivan and Elizabeth Denne. Bibl. – 3 titles.

UDC: 515.162.8

Received: 18.12.2006

Language: English