Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1104-41
Keywords
Curve, differential invariant, pseudo-Euclidean geometry, Minkowski geometry
First Page
80
Last Page
94
Recommended Citation
KHADJIEV, D, ÖREN, İ, & PEKŞEN, Ö (2013). Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry}. Turkish Journal of Mathematics 37 (1): 80-94. https://doi.org/10.3906/mat-1104-41
