The self-linking number of a closed curve in Rn

被引：2

作者：

Amilibia, AM ^{[1
]}

Ballesteros, JJN ^{[1
]}

机构：

[1] Univ Valencia, Dept Geometria & Topol, E-46100 Burjassot, Spain

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2000年 / 9卷 / 04期

关键词：

D O I：

10.1142/S0218216500000268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the self-linking number of a smooth closed curve alpha : S-1 --> R-n with respect to a 3-dimensional vector bundle over the curve, provided that some regularity conditions are satisfied. When n = 3, this construction gives the classical self-linking number of a closed embedded curve with non-vanishing curvature [5]. We also look at some interesting particular cases, which correspond to the osculating or the orthogonal vector bundle of the curve.

引用

页码：491 / 503

页数：13