ENERGY FUNCTIONALS OF KNOTS .2.

被引：34

作者：

OHARA, J ^{[1
]}

机构：

[1] TOKYO METROPOLITAN UNIV,DEPT MATH,1-1 MINAMI OHSAWA,HACHIOJI,TOKYO 19203,JAPAN

来源：

TOPOLOGY AND ITS APPLICATIONS | 1994年 / 56卷 / 01期

关键词：

KNOT; ENERGY; MINIMIZER;

D O I：

10.1016/0166-8641(94)90108-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an energy functional of knots, e(j)p (jp > 2), that is finite valued for embedded circles and takes + infinity for circles with double points. We show that for any b is-an-element-of R there are finitely many solid tori T1,..., T(m) such that any knot with e(j)p less-than-or-equal-to b can be contained in some T(i) in a good manner. Then we can show the existence of a minimizer of e(j)p in each knot type.

引用

页码：45 / 61

页数：17

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