- Turkish Journal of Mathematics
- Vol: 37 Issue: 1
- Generating systems of differential invariants and the theorem on existence for curves in the pseudo-...
Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry}
Authors : Djavvat Khadjiev, Idris Ören, Ömer Pekşen
Pages : 80-94
Doi:10.3906/mat-1104-41
View : 11 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Key words: Curve, differential invariant, pseudo-Euclidean geometry, Minkowski geometry