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Energy functionals of knots II
- Source :
- Topology and its Applications. 56:45-61
- Publication Year :
- 1994
- Publisher :
- Elsevier BV, 1994.
-
Abstract
- We study an energy functional of knots, e p j ( jp > 2), that is finite valued for embedded circles and takes +∞ for circles with double points. We show that for any b ϵ R there are finitely many solid tori T 1 ,…, T m such that any knot with e p j ⩽ b can be contained in some T i in a good manner. Then we can show the existence of a minimizer of e p j in each knot type.
Details
- ISSN :
- 01668641
- Volume :
- 56
- Database :
- OpenAIRE
- Journal :
- Topology and its Applications
- Accession number :
- edsair.doi.dedup.....615ed0d1e86292e640bbda84f6bc7470