Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry

被引：11

作者：

Khadjiev, Djavvat ^{[1
]}

Oren, Idris ^{[1
]}

Peksen, Omer ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 01期

关键词：

Curve; differential invariant; pseudo-Euclidean geometry; Minkowski geometry; NULL CURVES;

D O I：

10.3906/mat-1104-41

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M(n,p) be the group of all motions of an n-dimensional pseudo-Euclidean space of index p. It is proved that the complete system of M(n,p)-invariant differential rational functions of a path (curve) is a generating system of the differential field of all M(n,p)-invariant differential rational functions of a path (curve), respectively. A fundamental system of relations between elements of the complete system of M(n,p)-invariant differential rational functions of a path (curve) is described.

引用

页码：80 / 94

页数：15