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


Sagiroglu Y.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, ss.1019-1024, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 218 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.070
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.1019-1024

Özet

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.