Title
Möbius energy of thick knots
Department/School
Mathematics
Date
10-30-2002
Document Type
Article
Keywords
Möbius energy, Knot energy, Ropelength, Thickness, Physical knots
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
Volume
125
Issue
1
Published in
Topology and its Applications
COinS
Citation/Other Information
Rawdon, E. J., & 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