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
Preprint
Repository Citation
Rawdon, E., & Simon, J. (2002). Möbius energy of thick knots. Topology and its Applications, 125 (1), 97-109. https://doi.org/10.1016/S0166-8641(01)00263-2