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

Sagiroglu Y.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.1019-1024, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.070
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1019-1024
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.