FORMULAS FOR THE CALCULATION AND ESTIMATION OF WRITHE

被引：42

作者：

ALDINGER, J ^{[1
]}

KLAPPER, I ^{[1
]}

TABOR, M ^{[1
]}

机构：

[1] LMU,INST MATH,D-80333 MUNICH,GERMANY

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1995年 / 4卷 / 03期

关键词：

WRITHE; TWIST; LINKING NUMBER; CURVE DYNAMICS;

D O I：

10.1142/S021821659500017X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Detailed analyses and proofs of various formulae used for the calculation and estimation of the writhe of a space curve are given. A new formula for calculating the rate of change of writhe under smooth deformation is presented. This latter result is used to show that the writhe of a closed curve evolving under certain nonlinear evolution equations is conserved.

引用

页码：343 / 372

页数：30

共 30 条

[1] ELASTIC MODEL OF THE LARGE-SCALE STRUCTURE OF DUPLEX DNA [J].