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

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

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