MOBIUS INVARIANCE OF KNOT ENERGY

被引：12

作者：

BRYSON, S

FREEDMAN, MH

HE, ZX

WANG, ZH

机构：

[1] UNIV CALIF SAN DIEGO,DEPT MATH,LA JOLLA,CA 92093

[2] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 28卷 / 01期

关键词：

D O I：

10.1090/S0273-0979-1993-00348-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A physically natural potential energy for simple closed curves in R3 is shown to be invariant under Mobius transformations. This leads to the rapid resolution of several open problems: round circles are precisely the absolute minima for energy; there is a minimum energy threshold below which knotting cannot occur; minimizers within prime knot types exist and are regular. Finally, the number of knot types with energy less than any constant M is estimated.

引用

页码：99 / 103

页数：5