Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry}

Authors

DJAVVAT KHADJIEV
İDRİS ÖREN
ÖMER PEKŞEN

DOI

10.3906/mat-1104-41

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

Curve, differential invariant, pseudo-Euclidean geometry, Minkowski geometry

First Page

80

Last Page

94

Recommended Citation

KHADJIEV, DJAVVAT; ÖREN, İDRİS; and PEKŞEN, ÖMER (2013) "Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry}," Turkish Journal of Mathematics: Vol. 37: No. 1, Article 9. https://doi.org/10.3906/mat-1104-41
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/9