Title

Möbius energy of thick knots

DOI

10.1016/S0166-8641(01)00263-2

Document Type

Journal Article

Publication Date

10-30-2002

Publication Title

Topology and its Applications

Volume

125

Issue

1

First Page

97

Last Page

109

ISSN

1668641

Keywords

Knot energy, Möbius energy, Physical knots, Ropelength, Thickness

Abstract

The Möbius energy of a knot is an energy functional for smooth curves based on an idea of self-repelling. If a knot has a thick tubular neighborhood, we would intuitively expect the energy to be low. In this paper, we give explicit bounds for energy in terms of the ropelength of the knot, i.e., the ratio of the length of a thickest tube to its radius. © 2001 Elsevier Science B.V. All rights reserved.

Open Access

Green Accepted

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