Family of energy functionals of knots
type: Item
instance of: scholarly article
title: Family of energy functionals of knots
zbMATH Open document ID: 0769.57006
DOI: 10.1016/0166-8641(92)90023-S
author: Jun O'Hara
published in: Topology and its Applications
publication date: 1993-05-16T00:00:00Z
review text: An energy functional of knots is a functional on the space of immersions from \(S^ 1\) into \(\mathbb{R}^ 3\) that is finite-valued for embeddings and that takes \(+\infty\) otherwise. A family of energy functionals of knots which are generalized potential energies of charged knots is constructed. We show that only finitely many knot types can occur under any finite threshold for an energy functional defined here except for some special cases.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 58D10
zbMATH DE Number: 166416
zbMATH Keywords: energy functional of knots
zbMATH Keywords: potential energies of charged knots
MaRDI profile type: Publication
cites work: Q4703083
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full work available at URL: 0166-8641(92)90023-s
OpenAlex ID: W2150812234
description: scientific article; zbMATH DE number 166416