The equivalence of curves in SL(n, R) and its application to ruled surfaces

被引：5

作者：

Sagiroglu, Yasemin ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 03期

关键词：

SL(n; R)-Equivalence; Differential invariants; Parametric curve; Ruled surface;

D O I：

10.1016/j.amc.2011.03.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generating system of the differential algebra for invariant differential polynomials with two parametric curves is obtained. Conditions for the equivalence of two parametric curves families are given. We are also proved that the generating differential invariants of two parametric curves are independent. Finally, we reduce the SL(n, R)-equivalent problem for ruled surfaces to that of parametric curves. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1019 / 1024

页数：6

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